Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [798,2,Mod(107,798)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(798, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("798.107");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 798 = 2 \cdot 3 \cdot 7 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 798.p (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.37206208130\) |
Analytic rank: | \(0\) |
Dimension: | \(50\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.11 | ||
Character | \(\chi\) | \(=\) | 798.107 |
Dual form | 798.2.p.d.179.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/798\mathbb{Z}\right)^\times\).
\(n\) | \(115\) | \(211\) | \(533\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −0.544247 | − | 1.64432i | −0.314221 | − | 0.949350i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | − | 4.07740i | − | 1.82347i | −0.410779 | − | 0.911735i | \(-0.634743\pi\) | ||
0.410779 | − | 0.911735i | \(-0.365257\pi\) | |||||||
\(6\) | −0.544247 | − | 1.64432i | −0.222188 | − | 0.671292i | ||||
\(7\) | −1.01122 | − | 2.44488i | −0.382205 | − | 0.924077i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −2.40759 | + | 1.78984i | −0.802530 | + | 0.596612i | ||||
\(10\) | − | 4.07740i | − | 1.28939i | ||||||
\(11\) | 0.930342 | − | 0.537133i | 0.280509 | − | 0.161952i | −0.353145 | − | 0.935569i | \(-0.614888\pi\) |
0.633654 | + | 0.773617i | \(0.281554\pi\) | |||||||
\(12\) | −0.544247 | − | 1.64432i | −0.157111 | − | 0.474675i | ||||
\(13\) | 5.50387 | + | 3.17766i | 1.52650 | + | 0.881324i | 0.999505 | + | 0.0314543i | \(0.0100139\pi\) |
0.526993 | + | 0.849870i | \(0.323319\pi\) | |||||||
\(14\) | −1.01122 | − | 2.44488i | −0.270260 | − | 0.653421i | ||||
\(15\) | −6.70456 | + | 2.21912i | −1.73111 | + | 0.572973i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.61890 | − | 1.51203i | −0.635178 | − | 0.366720i | 0.147577 | − | 0.989051i | \(-0.452853\pi\) |
−0.782755 | + | 0.622331i | \(0.786186\pi\) | |||||||
\(18\) | −2.40759 | + | 1.78984i | −0.567474 | + | 0.421868i | ||||
\(19\) | 4.34265 | + | 0.375980i | 0.996273 | + | 0.0862557i | ||||
\(20\) | − | 4.07740i | − | 0.911735i | ||||||
\(21\) | −3.46981 | + | 2.99339i | −0.757176 | + | 0.653211i | ||||
\(22\) | 0.930342 | − | 0.537133i | 0.198350 | − | 0.114517i | ||||
\(23\) | −5.87482 | + | 3.39183i | −1.22499 | + | 0.707246i | −0.965977 | − | 0.258629i | \(-0.916729\pi\) |
−0.259009 | + | 0.965875i | \(0.583396\pi\) | |||||||
\(24\) | −0.544247 | − | 1.64432i | −0.111094 | − | 0.335646i | ||||
\(25\) | −11.6252 | −2.32504 | ||||||||
\(26\) | 5.50387 | + | 3.17766i | 1.07940 | + | 0.623190i | ||||
\(27\) | 4.25339 | + | 2.98474i | 0.818565 | + | 0.574413i | ||||
\(28\) | −1.01122 | − | 2.44488i | −0.191103 | − | 0.462039i | ||||
\(29\) | 2.84891 | − | 4.93446i | 0.529029 | − | 0.916306i | −0.470397 | − | 0.882455i | \(-0.655889\pi\) |
0.999427 | − | 0.0338512i | \(-0.0107772\pi\) | |||||||
\(30\) | −6.70456 | + | 2.21912i | −1.22408 | + | 0.405153i | ||||
\(31\) | −4.45649 | + | 2.57296i | −0.800410 | + | 0.462117i | −0.843615 | − | 0.536949i | \(-0.819577\pi\) |
0.0432045 | + | 0.999066i | \(0.486243\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −1.38956 | − | 1.23745i | −0.241891 | − | 0.215412i | ||||
\(34\) | −2.61890 | − | 1.51203i | −0.449138 | − | 0.259310i | ||||
\(35\) | −9.96876 | + | 4.12315i | −1.68503 | + | 0.696940i | ||||
\(36\) | −2.40759 | + | 1.78984i | −0.401265 | + | 0.298306i | ||||
\(37\) | 3.66771 | + | 2.11756i | 0.602968 | + | 0.348124i | 0.770208 | − | 0.637792i | \(-0.220152\pi\) |
−0.167240 | + | 0.985916i | \(0.553486\pi\) | |||||||
\(38\) | 4.34265 | + | 0.375980i | 0.704471 | + | 0.0609920i | ||||
\(39\) | 2.22963 | − | 10.7796i | 0.357027 | − | 1.72611i | ||||
\(40\) | − | 4.07740i | − | 0.644694i | ||||||
\(41\) | 1.99215 | + | 3.45051i | 0.311122 | + | 0.538880i | 0.978606 | − | 0.205745i | \(-0.0659618\pi\) |
−0.667483 | + | 0.744625i | \(0.732628\pi\) | |||||||
\(42\) | −3.46981 | + | 2.99339i | −0.535404 | + | 0.461890i | ||||
\(43\) | −3.14519 | − | 5.44764i | −0.479638 | − | 0.830757i | 0.520090 | − | 0.854112i | \(-0.325899\pi\) |
−0.999727 | + | 0.0233549i | \(0.992565\pi\) | |||||||
\(44\) | 0.930342 | − | 0.537133i | 0.140254 | − | 0.0809759i | ||||
\(45\) | 7.29788 | + | 9.81671i | 1.08790 | + | 1.46339i | ||||
\(46\) | −5.87482 | + | 3.39183i | −0.866196 | + | 0.500098i | ||||
\(47\) | 3.44099 | − | 1.98666i | 0.501920 | − | 0.289784i | −0.227586 | − | 0.973758i | \(-0.573083\pi\) |
0.729506 | + | 0.683974i | \(0.239750\pi\) | |||||||
\(48\) | −0.544247 | − | 1.64432i | −0.0785553 | − | 0.237337i | ||||
\(49\) | −4.95487 | + | 4.94462i | −0.707838 | + | 0.706375i | ||||
\(50\) | −11.6252 | −1.64405 | ||||||||
\(51\) | −1.06092 | + | 5.12924i | −0.148559 | + | 0.718237i | ||||
\(52\) | 5.50387 | + | 3.17766i | 0.763249 | + | 0.440662i | ||||
\(53\) | 4.73673 | 0.650640 | 0.325320 | − | 0.945604i | \(-0.394528\pi\) | ||||
0.325320 | + | 0.945604i | \(0.394528\pi\) | |||||||
\(54\) | 4.25339 | + | 2.98474i | 0.578813 | + | 0.406172i | ||||
\(55\) | −2.19011 | − | 3.79338i | −0.295314 | − | 0.511499i | ||||
\(56\) | −1.01122 | − | 2.44488i | −0.135130 | − | 0.326711i | ||||
\(57\) | −1.74525 | − | 7.34535i | −0.231163 | − | 0.972915i | ||||
\(58\) | 2.84891 | − | 4.93446i | 0.374080 | − | 0.647926i | ||||
\(59\) | 4.16467 | − | 7.21341i | 0.542193 | − | 0.939106i | −0.456584 | − | 0.889680i | \(-0.650927\pi\) |
0.998778 | − | 0.0494264i | \(-0.0157393\pi\) | |||||||
\(60\) | −6.70456 | + | 2.21912i | −0.865555 | + | 0.286487i | ||||
\(61\) | 3.84448 | + | 6.65884i | 0.492236 | + | 0.852577i | 0.999960 | − | 0.00894224i | \(-0.00284644\pi\) |
−0.507724 | + | 0.861520i | \(0.669513\pi\) | |||||||
\(62\) | −4.45649 | + | 2.57296i | −0.565975 | + | 0.326766i | ||||
\(63\) | 6.81053 | + | 4.07635i | 0.858047 | + | 0.513572i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 12.9566 | − | 22.4415i | 1.60707 | − | 2.78352i | ||||
\(66\) | −1.38956 | − | 1.23745i | −0.171043 | − | 0.152319i | ||||
\(67\) | 7.59056i | 0.927334i | 0.886010 | + | 0.463667i | \(0.153467\pi\) | ||||
−0.886010 | + | 0.463667i | \(0.846533\pi\) | |||||||
\(68\) | −2.61890 | − | 1.51203i | −0.317589 | − | 0.183360i | ||||
\(69\) | 8.77462 | + | 7.81411i | 1.05634 | + | 0.940708i | ||||
\(70\) | −9.96876 | + | 4.12315i | −1.19149 | + | 0.492811i | ||||
\(71\) | −4.36350 | − | 7.55780i | −0.517852 | − | 0.896946i | −0.999785 | − | 0.0207377i | \(-0.993399\pi\) |
0.481933 | − | 0.876208i | \(-0.339935\pi\) | |||||||
\(72\) | −2.40759 | + | 1.78984i | −0.283737 | + | 0.210934i | ||||
\(73\) | 4.19824 | − | 7.27157i | 0.491367 | − | 0.851073i | −0.508584 | − | 0.861013i | \(-0.669831\pi\) |
0.999951 | + | 0.00993997i | \(0.00316404\pi\) | |||||||
\(74\) | 3.66771 | + | 2.11756i | 0.426363 | + | 0.246161i | ||||
\(75\) | 6.32699 | + | 19.1156i | 0.730578 | + | 2.20728i | ||||
\(76\) | 4.34265 | + | 0.375980i | 0.498137 | + | 0.0431278i | ||||
\(77\) | −2.25401 | − | 1.73141i | −0.256868 | − | 0.197313i | ||||
\(78\) | 2.22963 | − | 10.7796i | 0.252456 | − | 1.22055i | ||||
\(79\) | 6.87993i | 0.774052i | 0.922069 | + | 0.387026i | \(0.126498\pi\) | ||||
−0.922069 | + | 0.387026i | \(0.873502\pi\) | |||||||
\(80\) | − | 4.07740i | − | 0.455867i | ||||||
\(81\) | 2.59298 | − | 8.61838i | 0.288109 | − | 0.957598i | ||||
\(82\) | 1.99215 | + | 3.45051i | 0.219997 | + | 0.381045i | ||||
\(83\) | 0.0397535i | 0.00436352i | 0.999998 | + | 0.00218176i | \(0.000694476\pi\) | ||||
−0.999998 | + | 0.00218176i | \(0.999306\pi\) | |||||||
\(84\) | −3.46981 | + | 2.99339i | −0.378588 | + | 0.326606i | ||||
\(85\) | −6.16514 | + | 10.6783i | −0.668703 | + | 1.15823i | ||||
\(86\) | −3.14519 | − | 5.44764i | −0.339155 | − | 0.587434i | ||||
\(87\) | −9.66435 | − | 1.99896i | −1.03613 | − | 0.214311i | ||||
\(88\) | 0.930342 | − | 0.537133i | 0.0991748 | − | 0.0572586i | ||||
\(89\) | −0.110424 | − | 0.191260i | −0.0117049 | − | 0.0202735i | 0.860114 | − | 0.510102i | \(-0.170393\pi\) |
−0.871819 | + | 0.489829i | \(0.837059\pi\) | |||||||
\(90\) | 7.29788 | + | 9.81671i | 0.769264 | + | 1.03477i | ||||
\(91\) | 2.20337 | − | 16.6696i | 0.230976 | − | 1.74745i | ||||
\(92\) | −5.87482 | + | 3.39183i | −0.612493 | + | 0.353623i | ||||
\(93\) | 6.65621 | + | 5.92759i | 0.690217 | + | 0.614662i | ||||
\(94\) | 3.44099 | − | 1.98666i | 0.354911 | − | 0.204908i | ||||
\(95\) | 1.53302 | − | 17.7067i | 0.157285 | − | 1.81667i | ||||
\(96\) | −0.544247 | − | 1.64432i | −0.0555470 | − | 0.167823i | ||||
\(97\) | 12.0392 | − | 6.95084i | 1.22240 | − | 0.705751i | 0.256968 | − | 0.966420i | \(-0.417276\pi\) |
0.965428 | + | 0.260669i | \(0.0839430\pi\) | |||||||
\(98\) | −4.95487 | + | 4.94462i | −0.500517 | + | 0.499482i | ||||
\(99\) | −1.27850 | + | 2.95836i | −0.128494 | + | 0.297326i | ||||
\(100\) | −11.6252 | −1.16252 | ||||||||
\(101\) | − | 8.79633i | − | 0.875267i | −0.899153 | − | 0.437634i | \(-0.855817\pi\) | ||
0.899153 | − | 0.437634i | \(-0.144183\pi\) | |||||||
\(102\) | −1.06092 | + | 5.12924i | −0.105047 | + | 0.507870i | ||||
\(103\) | −11.3862 | − | 6.57382i | −1.12192 | − | 0.647738i | −0.180026 | − | 0.983662i | \(-0.557618\pi\) |
−0.941889 | + | 0.335924i | \(0.890952\pi\) | |||||||
\(104\) | 5.50387 | + | 3.17766i | 0.539699 | + | 0.311595i | ||||
\(105\) | 12.2053 | + | 14.1478i | 1.19111 | + | 1.38069i | ||||
\(106\) | 4.73673 | 0.460072 | ||||||||
\(107\) | 1.67647 | − | 2.90374i | 0.162071 | − | 0.280715i | −0.773540 | − | 0.633747i | \(-0.781516\pi\) |
0.935611 | + | 0.353032i | \(0.114849\pi\) | |||||||
\(108\) | 4.25339 | + | 2.98474i | 0.409283 | + | 0.287207i | ||||
\(109\) | −8.50939 | − | 4.91290i | −0.815052 | − | 0.470570i | 0.0336554 | − | 0.999433i | \(-0.489285\pi\) |
−0.848707 | + | 0.528863i | \(0.822618\pi\) | |||||||
\(110\) | −2.19011 | − | 3.79338i | −0.208819 | − | 0.361685i | ||||
\(111\) | 1.48580 | − | 7.18338i | 0.141026 | − | 0.681816i | ||||
\(112\) | −1.01122 | − | 2.44488i | −0.0955513 | − | 0.231019i | ||||
\(113\) | 11.3167 | 1.06458 | 0.532292 | − | 0.846561i | \(-0.321331\pi\) | ||||
0.532292 | + | 0.846561i | \(0.321331\pi\) | |||||||
\(114\) | −1.74525 | − | 7.34535i | −0.163457 | − | 0.687955i | ||||
\(115\) | 13.8299 | + | 23.9540i | 1.28964 | + | 2.23372i | ||||
\(116\) | 2.84891 | − | 4.93446i | 0.264515 | − | 0.458153i | ||||
\(117\) | −18.9385 | + | 2.20052i | −1.75087 | + | 0.203438i | ||||
\(118\) | 4.16467 | − | 7.21341i | 0.383389 | − | 0.664049i | ||||
\(119\) | −1.04843 | + | 7.93190i | −0.0961094 | + | 0.727116i | ||||
\(120\) | −6.70456 | + | 2.21912i | −0.612040 | + | 0.202577i | ||||
\(121\) | −4.92298 | + | 8.52684i | −0.447543 | + | 0.775168i | ||||
\(122\) | 3.84448 | + | 6.65884i | 0.348063 | + | 0.602863i | ||||
\(123\) | 4.58953 | − | 5.15368i | 0.413824 | − | 0.464691i | ||||
\(124\) | −4.45649 | + | 2.57296i | −0.400205 | + | 0.231058i | ||||
\(125\) | 27.0137i | 2.41617i | ||||||||
\(126\) | 6.81053 | + | 4.07635i | 0.606731 | + | 0.363150i | ||||
\(127\) | 10.5158 | + | 6.07128i | 0.933123 | + | 0.538739i | 0.887798 | − | 0.460233i | \(-0.152234\pi\) |
0.0453251 | + | 0.998972i | \(0.485568\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −7.24591 | + | 8.13657i | −0.637966 | + | 0.716385i | ||||
\(130\) | 12.9566 | − | 22.4415i | 1.13637 | − | 1.96825i | ||||
\(131\) | − | 12.7980i | − | 1.11817i | −0.829111 | − | 0.559084i | \(-0.811153\pi\) | ||
0.829111 | − | 0.559084i | \(-0.188847\pi\) | |||||||
\(132\) | −1.38956 | − | 1.23745i | −0.120945 | − | 0.107706i | ||||
\(133\) | −3.47215 | − | 10.9975i | −0.301074 | − | 0.953601i | ||||
\(134\) | 7.59056i | 0.655724i | ||||||||
\(135\) | 12.1700 | − | 17.3428i | 1.04743 | − | 1.49263i | ||||
\(136\) | −2.61890 | − | 1.51203i | −0.224569 | − | 0.129655i | ||||
\(137\) | 17.3126i | 1.47911i | 0.673095 | + | 0.739556i | \(0.264965\pi\) | ||||
−0.673095 | + | 0.739556i | \(0.735035\pi\) | |||||||
\(138\) | 8.77462 | + | 7.81411i | 0.746945 | + | 0.665181i | ||||
\(139\) | 0.616575 | − | 1.06794i | 0.0522972 | − | 0.0905815i | −0.838692 | − | 0.544607i | \(-0.816679\pi\) |
0.890989 | + | 0.454025i | \(0.150012\pi\) | |||||||
\(140\) | −9.96876 | + | 4.12315i | −0.842514 | + | 0.348470i | ||||
\(141\) | −5.13945 | − | 4.57686i | −0.432820 | − | 0.385441i | ||||
\(142\) | −4.36350 | − | 7.55780i | −0.366177 | − | 0.634236i | ||||
\(143\) | 6.82731 | 0.570928 | ||||||||
\(144\) | −2.40759 | + | 1.78984i | −0.200632 | + | 0.149153i | ||||
\(145\) | −20.1198 | − | 11.6162i | −1.67086 | − | 0.964669i | ||||
\(146\) | 4.19824 | − | 7.27157i | 0.347449 | − | 0.601799i | ||||
\(147\) | 10.8272 | + | 5.45630i | 0.893014 | + | 0.450028i | ||||
\(148\) | 3.66771 | + | 2.11756i | 0.301484 | + | 0.174062i | ||||
\(149\) | 17.8685i | 1.46385i | 0.681387 | + | 0.731923i | \(0.261377\pi\) | ||||
−0.681387 | + | 0.731923i | \(0.738623\pi\) | |||||||
\(150\) | 6.32699 | + | 19.1156i | 0.516597 | + | 1.56078i | ||||
\(151\) | −17.6780 | + | 10.2064i | −1.43862 | + | 0.830586i | −0.997754 | − | 0.0669889i | \(-0.978661\pi\) |
−0.440863 | + | 0.897575i | \(0.645327\pi\) | |||||||
\(152\) | 4.34265 | + | 0.375980i | 0.352236 | + | 0.0304960i | ||||
\(153\) | 9.01153 | − | 1.04707i | 0.728539 | − | 0.0846507i | ||||
\(154\) | −2.25401 | − | 1.73141i | −0.181633 | − | 0.139521i | ||||
\(155\) | 10.4910 | + | 18.1709i | 0.842656 | + | 1.45952i | ||||
\(156\) | 2.22963 | − | 10.7796i | 0.178513 | − | 0.863056i | ||||
\(157\) | 7.34628 | − | 12.7241i | 0.586297 | − | 1.01550i | −0.408415 | − | 0.912796i | \(-0.633918\pi\) |
0.994712 | − | 0.102700i | \(-0.0327482\pi\) | |||||||
\(158\) | 6.87993i | 0.547338i | ||||||||
\(159\) | −2.57795 | − | 7.78871i | −0.204445 | − | 0.617685i | ||||
\(160\) | − | 4.07740i | − | 0.322347i | ||||||
\(161\) | 14.2334 | + | 10.9333i | 1.12175 | + | 0.861669i | ||||
\(162\) | 2.59298 | − | 8.61838i | 0.203724 | − | 0.677124i | ||||
\(163\) | 7.80445 | − | 13.5177i | 0.611292 | − | 1.05879i | −0.379731 | − | 0.925097i | \(-0.623984\pi\) |
0.991023 | − | 0.133691i | \(-0.0426831\pi\) | |||||||
\(164\) | 1.99215 | + | 3.45051i | 0.155561 | + | 0.269440i | ||||
\(165\) | −5.04558 | + | 5.66578i | −0.392798 | + | 0.441080i | ||||
\(166\) | 0.0397535i | 0.00308547i | ||||||||
\(167\) | −3.87830 | + | 6.71742i | −0.300112 | + | 0.519809i | −0.976161 | − | 0.217047i | \(-0.930357\pi\) |
0.676049 | + | 0.736857i | \(0.263691\pi\) | |||||||
\(168\) | −3.46981 | + | 2.99339i | −0.267702 | + | 0.230945i | ||||
\(169\) | 13.6950 | + | 23.7205i | 1.05346 | + | 1.82465i | ||||
\(170\) | −6.16514 | + | 10.6783i | −0.472844 | + | 0.818990i | ||||
\(171\) | −11.1283 | + | 6.86743i | −0.851000 | + | 0.525166i | ||||
\(172\) | −3.14519 | − | 5.44764i | −0.239819 | − | 0.415378i | ||||
\(173\) | −0.882084 | −0.0670636 | −0.0335318 | − | 0.999438i | \(-0.510676\pi\) | ||||
−0.0335318 | + | 0.999438i | \(0.510676\pi\) | |||||||
\(174\) | −9.66435 | − | 1.99896i | −0.732652 | − | 0.151541i | ||||
\(175\) | 11.7556 | + | 28.4222i | 0.888643 | + | 2.14852i | ||||
\(176\) | 0.930342 | − | 0.537133i | 0.0701272 | − | 0.0404880i | ||||
\(177\) | −14.1278 | − | 2.92217i | −1.06191 | − | 0.219644i | ||||
\(178\) | −0.110424 | − | 0.191260i | −0.00827662 | − | 0.0143355i | ||||
\(179\) | 3.25659 | + | 5.64058i | 0.243409 | + | 0.421597i | 0.961683 | − | 0.274164i | \(-0.0884009\pi\) |
−0.718274 | + | 0.695760i | \(0.755068\pi\) | |||||||
\(180\) | 7.29788 | + | 9.81671i | 0.543952 | + | 0.731695i | ||||
\(181\) | 16.7223 | + | 9.65465i | 1.24296 | + | 0.717625i | 0.969696 | − | 0.244314i | \(-0.0785627\pi\) |
0.273266 | + | 0.961938i | \(0.411896\pi\) | |||||||
\(182\) | 2.20337 | − | 16.6696i | 0.163325 | − | 1.23563i | ||||
\(183\) | 8.85693 | − | 9.94563i | 0.654723 | − | 0.735202i | ||||
\(184\) | −5.87482 | + | 3.39183i | −0.433098 | + | 0.250049i | ||||
\(185\) | 8.63413 | − | 14.9547i | 0.634794 | − | 1.09949i | ||||
\(186\) | 6.65621 | + | 5.92759i | 0.488057 | + | 0.434632i | ||||
\(187\) | −3.24864 | −0.237564 | ||||||||
\(188\) | 3.44099 | − | 1.98666i | 0.250960 | − | 0.144892i | ||||
\(189\) | 2.99621 | − | 13.4173i | 0.217943 | − | 0.975962i | ||||
\(190\) | 1.53302 | − | 17.7067i | 0.111217 | − | 1.28458i | ||||
\(191\) | −7.77719 | − | 4.49016i | −0.562737 | − | 0.324897i | 0.191506 | − | 0.981491i | \(-0.438663\pi\) |
−0.754244 | + | 0.656595i | \(0.771996\pi\) | |||||||
\(192\) | −0.544247 | − | 1.64432i | −0.0392777 | − | 0.118669i | ||||
\(193\) | 0.0705418 | + | 0.0407273i | 0.00507771 | + | 0.00293162i | 0.502537 | − | 0.864556i | \(-0.332400\pi\) |
−0.497459 | + | 0.867487i | \(0.665734\pi\) | |||||||
\(194\) | 12.0392 | − | 6.95084i | 0.864365 | − | 0.499041i | ||||
\(195\) | −43.9526 | − | 9.09110i | −3.14751 | − | 0.651027i | ||||
\(196\) | −4.95487 | + | 4.94462i | −0.353919 | + | 0.353187i | ||||
\(197\) | − | 22.2690i | − | 1.58660i | −0.608830 | − | 0.793301i | \(-0.708361\pi\) | ||
0.608830 | − | 0.793301i | \(-0.291639\pi\) | |||||||
\(198\) | −1.27850 | + | 2.95836i | −0.0908592 | + | 0.210241i | ||||
\(199\) | 3.50713 | 0.248614 | 0.124307 | − | 0.992244i | \(-0.460329\pi\) | ||||
0.124307 | + | 0.992244i | \(0.460329\pi\) | |||||||
\(200\) | −11.6252 | −0.822027 | ||||||||
\(201\) | 12.4813 | − | 4.13114i | 0.880364 | − | 0.291388i | ||||
\(202\) | − | 8.79633i | − | 0.618907i | ||||||
\(203\) | −14.9450 | − | 1.97542i | −1.04894 | − | 0.138647i | ||||
\(204\) | −1.06092 | + | 5.12924i | −0.0742796 | + | 0.359119i | ||||
\(205\) | 14.0691 | − | 8.12282i | 0.982631 | − | 0.567322i | ||||
\(206\) | −11.3862 | − | 6.57382i | −0.793314 | − | 0.458020i | ||||
\(207\) | 8.07335 | − | 18.6811i | 0.561136 | − | 1.29843i | ||||
\(208\) | 5.50387 | + | 3.17766i | 0.381625 | + | 0.220331i | ||||
\(209\) | 4.24211 | − | 1.98279i | 0.293433 | − | 0.137153i | ||||
\(210\) | 12.2053 | + | 14.1478i | 0.842243 | + | 0.976293i | ||||
\(211\) | 4.52926 | − | 2.61497i | 0.311807 | − | 0.180022i | −0.335928 | − | 0.941888i | \(-0.609050\pi\) |
0.647735 | + | 0.761866i | \(0.275716\pi\) | |||||||
\(212\) | 4.73673 | 0.325320 | ||||||||
\(213\) | −10.0526 | + | 11.2883i | −0.688795 | + | 0.773462i | ||||
\(214\) | 1.67647 | − | 2.90374i | 0.114601 | − | 0.198495i | ||||
\(215\) | −22.2122 | + | 12.8242i | −1.51486 | + | 0.874605i | ||||
\(216\) | 4.25339 | + | 2.98474i | 0.289407 | + | 0.203086i | ||||
\(217\) | 10.7971 | + | 8.29376i | 0.732953 | + | 0.563017i | ||||
\(218\) | −8.50939 | − | 4.91290i | −0.576329 | − | 0.332743i | ||||
\(219\) | −14.2417 | − | 2.94573i | −0.962364 | − | 0.199054i | ||||
\(220\) | −2.19011 | − | 3.79338i | −0.147657 | − | 0.255750i | ||||
\(221\) | −9.60940 | − | 16.6440i | −0.646398 | − | 1.11959i | ||||
\(222\) | 1.48580 | − | 7.18338i | 0.0997204 | − | 0.482117i | ||||
\(223\) | −6.31674 | + | 3.64697i | −0.423000 | + | 0.244219i | −0.696360 | − | 0.717693i | \(-0.745198\pi\) |
0.273360 | + | 0.961912i | \(0.411865\pi\) | |||||||
\(224\) | −1.01122 | − | 2.44488i | −0.0675650 | − | 0.163355i | ||||
\(225\) | 27.9887 | − | 20.8072i | 1.86592 | − | 1.38715i | ||||
\(226\) | 11.3167 | 0.752775 | ||||||||
\(227\) | −0.329401 | − | 0.570539i | −0.0218631 | − | 0.0378680i | 0.854887 | − | 0.518814i | \(-0.173626\pi\) |
−0.876750 | + | 0.480946i | \(0.840293\pi\) | |||||||
\(228\) | −1.74525 | − | 7.34535i | −0.115582 | − | 0.486457i | ||||
\(229\) | −0.556790 | + | 0.964389i | −0.0367937 | + | 0.0637286i | −0.883836 | − | 0.467797i | \(-0.845048\pi\) |
0.847042 | + | 0.531526i | \(0.178381\pi\) | |||||||
\(230\) | 13.8299 | + | 23.9540i | 0.911914 | + | 1.57948i | ||||
\(231\) | −1.62027 | + | 4.64863i | −0.106606 | + | 0.305857i | ||||
\(232\) | 2.84891 | − | 4.93446i | 0.187040 | − | 0.323963i | ||||
\(233\) | − | 18.5403i | − | 1.21461i | −0.794468 | − | 0.607307i | \(-0.792250\pi\) | ||
0.794468 | − | 0.607307i | \(-0.207750\pi\) | |||||||
\(234\) | −18.9385 | + | 2.20052i | −1.23805 | + | 0.143852i | ||||
\(235\) | −8.10039 | − | 14.0303i | −0.528411 | − | 0.915236i | ||||
\(236\) | 4.16467 | − | 7.21341i | 0.271097 | − | 0.469553i | ||||
\(237\) | 11.3128 | − | 3.74438i | 0.734847 | − | 0.243224i | ||||
\(238\) | −1.04843 | + | 7.93190i | −0.0679596 | + | 0.514148i | ||||
\(239\) | 16.5866i | 1.07290i | 0.843933 | + | 0.536448i | \(0.180234\pi\) | ||||
−0.843933 | + | 0.536448i | \(0.819766\pi\) | |||||||
\(240\) | −6.70456 | + | 2.21912i | −0.432778 | + | 0.143243i | ||||
\(241\) | 19.1897i | 1.23612i | 0.786131 | + | 0.618059i | \(0.212081\pi\) | ||||
−0.786131 | + | 0.618059i | \(0.787919\pi\) | |||||||
\(242\) | −4.92298 | + | 8.52684i | −0.316461 | + | 0.548126i | ||||
\(243\) | −15.5826 | + | 0.426839i | −0.999625 | + | 0.0273818i | ||||
\(244\) | 3.84448 | + | 6.65884i | 0.246118 | + | 0.426289i | ||||
\(245\) | 20.1612 | + | 20.2030i | 1.28805 | + | 1.29072i | ||||
\(246\) | 4.58953 | − | 5.15368i | 0.292618 | − | 0.328586i | ||||
\(247\) | 22.7067 | + | 15.8688i | 1.44479 | + | 1.00971i | ||||
\(248\) | −4.45649 | + | 2.57296i | −0.282988 | + | 0.163383i | ||||
\(249\) | 0.0653676 | − | 0.0216357i | 0.00414250 | − | 0.00137111i | ||||
\(250\) | 27.0137i | 1.70849i | ||||||||
\(251\) | −2.51541 | − | 1.45227i | −0.158771 | − | 0.0916666i | 0.418509 | − | 0.908213i | \(-0.362553\pi\) |
−0.577280 | + | 0.816546i | \(0.695886\pi\) | |||||||
\(252\) | 6.81053 | + | 4.07635i | 0.429023 | + | 0.256786i | ||||
\(253\) | −3.64373 | + | 6.31113i | −0.229079 | + | 0.396777i | ||||
\(254\) | 10.5158 | + | 6.07128i | 0.659818 | + | 0.380946i | ||||
\(255\) | 20.9140 | + | 4.32582i | 1.30968 | + | 0.270893i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 10.6628 | + | 18.4686i | 0.665130 | + | 1.15204i | 0.979250 | + | 0.202656i | \(0.0649572\pi\) |
−0.314120 | + | 0.949383i | \(0.601709\pi\) | |||||||
\(258\) | −7.24591 | + | 8.13657i | −0.451110 | + | 0.506561i | ||||
\(259\) | 1.46830 | − | 11.1084i | 0.0912358 | − | 0.690244i | ||||
\(260\) | 12.9566 | − | 22.4415i | 0.803534 | − | 1.39176i | ||||
\(261\) | 1.97286 | + | 16.9792i | 0.122117 | + | 1.05099i | ||||
\(262\) | − | 12.7980i | − | 0.790665i | ||||||
\(263\) | −24.8822 | − | 14.3657i | −1.53430 | − | 0.885830i | −0.999156 | − | 0.0410697i | \(-0.986923\pi\) |
−0.535146 | − | 0.844760i | \(-0.679743\pi\) | |||||||
\(264\) | −1.38956 | − | 1.23745i | −0.0855213 | − | 0.0761597i | ||||
\(265\) | − | 19.3136i | − | 1.18642i | ||||||
\(266\) | −3.47215 | − | 10.9975i | −0.212891 | − | 0.674298i | ||||
\(267\) | −0.254395 | + | 0.285665i | −0.0155687 | + | 0.0174824i | ||||
\(268\) | 7.59056i | 0.463667i | ||||||||
\(269\) | 3.16236 | − | 5.47737i | 0.192812 | − | 0.333961i | −0.753369 | − | 0.657598i | \(-0.771572\pi\) |
0.946181 | + | 0.323637i | \(0.104906\pi\) | |||||||
\(270\) | 12.1700 | − | 17.3428i | 0.740642 | − | 1.05545i | ||||
\(271\) | −11.2321 | −0.682301 | −0.341150 | − | 0.940009i | \(-0.610817\pi\) | ||||
−0.341150 | + | 0.940009i | \(0.610817\pi\) | |||||||
\(272\) | −2.61890 | − | 1.51203i | −0.158794 | − | 0.0916800i | ||||
\(273\) | −28.6094 | + | 5.44933i | −1.73152 | + | 0.329809i | ||||
\(274\) | 17.3126i | 1.04589i | ||||||||
\(275\) | −10.8154 | + | 6.24429i | −0.652195 | + | 0.376545i | ||||
\(276\) | 8.77462 | + | 7.81411i | 0.528170 | + | 0.470354i | ||||
\(277\) | 6.94047 | + | 12.0212i | 0.417012 | + | 0.722287i | 0.995637 | − | 0.0933070i | \(-0.0297438\pi\) |
−0.578625 | + | 0.815594i | \(0.696410\pi\) | |||||||
\(278\) | 0.616575 | − | 1.06794i | 0.0369797 | − | 0.0640508i | ||||
\(279\) | 6.12424 | − | 14.1710i | 0.366649 | − | 0.848397i | ||||
\(280\) | −9.96876 | + | 4.12315i | −0.595747 | + | 0.246405i | ||||
\(281\) | −4.96581 | + | 8.60104i | −0.296235 | + | 0.513095i | −0.975272 | − | 0.221010i | \(-0.929065\pi\) |
0.679036 | + | 0.734105i | \(0.262398\pi\) | |||||||
\(282\) | −5.13945 | − | 4.57686i | −0.306050 | − | 0.272548i | ||||
\(283\) | 2.44319 | − | 4.23173i | 0.145233 | − | 0.251550i | −0.784227 | − | 0.620474i | \(-0.786940\pi\) |
0.929460 | + | 0.368924i | \(0.120274\pi\) | |||||||
\(284\) | −4.36350 | − | 7.55780i | −0.258926 | − | 0.448473i | ||||
\(285\) | −29.9499 | + | 7.11607i | −1.77408 | + | 0.421520i | ||||
\(286\) | 6.82731 | 0.403707 | ||||||||
\(287\) | 6.42158 | − | 8.35980i | 0.379054 | − | 0.493464i | ||||
\(288\) | −2.40759 | + | 1.78984i | −0.141869 | + | 0.105467i | ||||
\(289\) | −3.92756 | − | 6.80273i | −0.231033 | − | 0.400161i | ||||
\(290\) | −20.1198 | − | 11.6162i | −1.18147 | − | 0.682124i | ||||
\(291\) | −17.9817 | − | 16.0134i | −1.05411 | − | 0.938720i | ||||
\(292\) | 4.19824 | − | 7.27157i | 0.245684 | − | 0.425536i | ||||
\(293\) | 5.22364 | 0.305168 | 0.152584 | − | 0.988290i | \(-0.451241\pi\) | ||||
0.152584 | + | 0.988290i | \(0.451241\pi\) | |||||||
\(294\) | 10.8272 | + | 5.45630i | 0.631457 | + | 0.318218i | ||||
\(295\) | −29.4120 | − | 16.9810i | −1.71243 | − | 0.988673i | ||||
\(296\) | 3.66771 | + | 2.11756i | 0.213182 | + | 0.123080i | ||||
\(297\) | 5.56031 | + | 0.492192i | 0.322642 | + | 0.0285599i | ||||
\(298\) | 17.8685i | 1.03510i | ||||||||
\(299\) | −43.1123 | −2.49325 | ||||||||
\(300\) | 6.32699 | + | 19.1156i | 0.365289 | + | 1.10364i | ||||
\(301\) | −10.1383 | + | 13.1984i | −0.584364 | + | 0.760742i | ||||
\(302\) | −17.6780 | + | 10.2064i | −1.01726 | + | 0.587313i | ||||
\(303\) | −14.4640 | + | 4.78738i | −0.830935 | + | 0.275028i | ||||
\(304\) | 4.34265 | + | 0.375980i | 0.249068 | + | 0.0215639i | ||||
\(305\) | 27.1508 | − | 15.6755i | 1.55465 | − | 0.897577i | ||||
\(306\) | 9.01153 | − | 1.04707i | 0.515155 | − | 0.0598571i | ||||
\(307\) | −5.40797 | + | 3.12229i | −0.308649 | + | 0.178199i | −0.646322 | − | 0.763065i | \(-0.723694\pi\) |
0.337673 | + | 0.941264i | \(0.390360\pi\) | |||||||
\(308\) | −2.25401 | − | 1.73141i | −0.128434 | − | 0.0986565i | ||||
\(309\) | −4.61258 | + | 22.3004i | −0.262400 | + | 1.26862i | ||||
\(310\) | 10.4910 | + | 18.1709i | 0.595848 | + | 1.03204i | ||||
\(311\) | −13.4139 | + | 7.74450i | −0.760631 | + | 0.439151i | −0.829522 | − | 0.558474i | \(-0.811387\pi\) |
0.0688913 | + | 0.997624i | \(0.478054\pi\) | |||||||
\(312\) | 2.22963 | − | 10.7796i | 0.126228 | − | 0.610273i | ||||
\(313\) | 2.62607 | + | 4.54849i | 0.148434 | + | 0.257096i | 0.930649 | − | 0.365913i | \(-0.119243\pi\) |
−0.782215 | + | 0.623009i | \(0.785910\pi\) | |||||||
\(314\) | 7.34628 | − | 12.7241i | 0.414575 | − | 0.718064i | ||||
\(315\) | 16.6209 | − | 27.7693i | 0.936482 | − | 1.56462i | ||||
\(316\) | 6.87993i | 0.387026i | ||||||||
\(317\) | 4.04167 | + | 7.00037i | 0.227003 | + | 0.393180i | 0.956918 | − | 0.290357i | \(-0.0937741\pi\) |
−0.729916 | + | 0.683537i | \(0.760441\pi\) | |||||||
\(318\) | −2.57795 | − | 7.78871i | −0.144564 | − | 0.436769i | ||||
\(319\) | − | 6.12098i | − | 0.342709i | ||||||
\(320\) | − | 4.07740i | − | 0.227934i | ||||||
\(321\) | −5.68709 | − | 1.17631i | −0.317423 | − | 0.0656553i | ||||
\(322\) | 14.2334 | + | 10.9333i | 0.793194 | + | 0.609292i | ||||
\(323\) | −10.8045 | − | 7.55086i | −0.601179 | − | 0.420141i | ||||
\(324\) | 2.59298 | − | 8.61838i | 0.144054 | − | 0.478799i | ||||
\(325\) | −63.9836 | − | 36.9410i | −3.54917 | − | 2.04912i | ||||
\(326\) | 7.80445 | − | 13.5177i | 0.432248 | − | 0.748676i | ||||
\(327\) | −3.44718 | + | 16.6660i | −0.190629 | + | 0.921632i | ||||
\(328\) | 1.99215 | + | 3.45051i | 0.109998 | + | 0.190523i | ||||
\(329\) | −8.33673 | − | 6.40385i | −0.459619 | − | 0.353056i | ||||
\(330\) | −5.04558 | + | 5.66578i | −0.277750 | + | 0.311891i | ||||
\(331\) | −21.1450 | − | 12.2081i | −1.16223 | − | 0.671016i | −0.210396 | − | 0.977616i | \(-0.567475\pi\) |
−0.951838 | + | 0.306600i | \(0.900809\pi\) | |||||||
\(332\) | 0.0397535i | 0.00218176i | ||||||||
\(333\) | −12.6204 | + | 1.46640i | −0.691595 | + | 0.0803582i | ||||
\(334\) | −3.87830 | + | 6.71742i | −0.212211 | + | 0.367561i | ||||
\(335\) | 30.9497 | 1.69097 | ||||||||
\(336\) | −3.46981 | + | 2.99339i | −0.189294 | + | 0.163303i | ||||
\(337\) | 7.76773 | − | 4.48470i | 0.423135 | − | 0.244297i | −0.273283 | − | 0.961934i | \(-0.588109\pi\) |
0.696418 | + | 0.717637i | \(0.254776\pi\) | |||||||
\(338\) | 13.6950 | + | 23.7205i | 0.744912 | + | 1.29022i | ||||
\(339\) | −6.15907 | − | 18.6083i | −0.334515 | − | 1.01066i | ||||
\(340\) | −6.16514 | + | 10.6783i | −0.334351 | + | 0.579114i | ||||
\(341\) | −2.76404 | + | 4.78746i | −0.149681 | + | 0.259256i | ||||
\(342\) | −11.1283 | + | 6.86743i | −0.601748 | + | 0.371348i | ||||
\(343\) | 17.0995 | + | 7.11395i | 0.923284 | + | 0.384117i | ||||
\(344\) | −3.14519 | − | 5.44764i | −0.169578 | − | 0.293717i | ||||
\(345\) | 31.8613 | − | 35.7777i | 1.71535 | − | 1.92620i | ||||
\(346\) | −0.882084 | −0.0474211 | ||||||||
\(347\) | 15.1730 | + | 8.76013i | 0.814529 | + | 0.470268i | 0.848526 | − | 0.529154i | \(-0.177490\pi\) |
−0.0339974 | + | 0.999422i | \(0.510824\pi\) | |||||||
\(348\) | −9.66435 | − | 1.99896i | −0.518064 | − | 0.107156i | ||||
\(349\) | −7.55071 | −0.404180 | −0.202090 | − | 0.979367i | \(-0.564773\pi\) | ||||
−0.202090 | + | 0.979367i | \(0.564773\pi\) | |||||||
\(350\) | 11.7556 | + | 28.4222i | 0.628366 | + | 1.51923i | ||||
\(351\) | 13.9256 | + | 29.9434i | 0.743294 | + | 1.59826i | ||||
\(352\) | 0.930342 | − | 0.537133i | 0.0495874 | − | 0.0286293i | ||||
\(353\) | 18.3795 | − | 10.6114i | 0.978243 | − | 0.564789i | 0.0765039 | − | 0.997069i | \(-0.475624\pi\) |
0.901739 | + | 0.432280i | \(0.142291\pi\) | |||||||
\(354\) | −14.1278 | − | 2.92217i | −0.750883 | − | 0.155312i | ||||
\(355\) | −30.8162 | + | 17.7917i | −1.63555 | + | 0.944287i | ||||
\(356\) | −0.110424 | − | 0.191260i | −0.00585245 | − | 0.0101367i | ||||
\(357\) | 13.6132 | − | 2.59296i | 0.720487 | − | 0.137234i | ||||
\(358\) | 3.25659 | + | 5.64058i | 0.172116 | + | 0.298114i | ||||
\(359\) | 14.7462i | 0.778272i | 0.921180 | + | 0.389136i | \(0.127226\pi\) | ||||
−0.921180 | + | 0.389136i | \(0.872774\pi\) | |||||||
\(360\) | 7.29788 | + | 9.81671i | 0.384632 | + | 0.517386i | ||||
\(361\) | 18.7173 | + | 3.26550i | 0.985120 | + | 0.171868i | ||||
\(362\) | 16.7223 | + | 9.65465i | 0.878907 | + | 0.507437i | ||||
\(363\) | 16.7002 | + | 3.45425i | 0.876533 | + | 0.181301i | ||||
\(364\) | 2.20337 | − | 16.6696i | 0.115488 | − | 0.873725i | ||||
\(365\) | −29.6491 | − | 17.1179i | −1.55191 | − | 0.895993i | ||||
\(366\) | 8.85693 | − | 9.94563i | 0.462959 | − | 0.519866i | ||||
\(367\) | 24.9894 | 1.30443 | 0.652217 | − | 0.758033i | \(-0.273839\pi\) | ||||
0.652217 | + | 0.758033i | \(0.273839\pi\) | |||||||
\(368\) | −5.87482 | + | 3.39183i | −0.306246 | + | 0.176811i | ||||
\(369\) | −10.9721 | − | 4.74179i | −0.571187 | − | 0.246848i | ||||
\(370\) | 8.63413 | − | 14.9547i | 0.448867 | − | 0.777460i | ||||
\(371\) | −4.78988 | − | 11.5807i | −0.248678 | − | 0.601242i | ||||
\(372\) | 6.65621 | + | 5.92759i | 0.345108 | + | 0.307331i | ||||
\(373\) | −4.75225 | − | 2.74372i | −0.246062 | − | 0.142064i | 0.371898 | − | 0.928274i | \(-0.378707\pi\) |
−0.617960 | + | 0.786210i | \(0.712041\pi\) | |||||||
\(374\) | −3.24864 | −0.167983 | ||||||||
\(375\) | 44.4191 | − | 14.7021i | 2.29379 | − | 0.759214i | ||||
\(376\) | 3.44099 | − | 1.98666i | 0.177455 | − | 0.102454i | ||||
\(377\) | 31.3600 | − | 18.1057i | 1.61512 | − | 0.932493i | ||||
\(378\) | 2.99621 | − | 13.4173i | 0.154109 | − | 0.690109i | ||||
\(379\) | 20.9015i | 1.07364i | 0.843697 | + | 0.536820i | \(0.180374\pi\) | ||||
−0.843697 | + | 0.536820i | \(0.819626\pi\) | |||||||
\(380\) | 1.53302 | − | 17.7067i | 0.0786423 | − | 0.908337i | ||||
\(381\) | 4.25996 | − | 20.5956i | 0.218244 | − | 1.05514i | ||||
\(382\) | −7.77719 | − | 4.49016i | −0.397915 | − | 0.229737i | ||||
\(383\) | −19.1265 | −0.977318 | −0.488659 | − | 0.872475i | \(-0.662514\pi\) | ||||
−0.488659 | + | 0.872475i | \(0.662514\pi\) | |||||||
\(384\) | −0.544247 | − | 1.64432i | −0.0277735 | − | 0.0839115i | ||||
\(385\) | −7.05967 | + | 9.19049i | −0.359794 | + | 0.468391i | ||||
\(386\) | 0.0705418 | + | 0.0407273i | 0.00359048 | + | 0.00207297i | ||||
\(387\) | 17.3227 | + | 7.48629i | 0.880563 | + | 0.380550i | ||||
\(388\) | 12.0392 | − | 6.95084i | 0.611198 | − | 0.352876i | ||||
\(389\) | 30.6695i | 1.55500i | 0.628880 | + | 0.777502i | \(0.283513\pi\) | ||||
−0.628880 | + | 0.777502i | \(0.716487\pi\) | |||||||
\(390\) | −43.9526 | − | 9.09110i | −2.22563 | − | 0.460346i | ||||
\(391\) | 20.5141 | 1.03744 | ||||||||
\(392\) | −4.95487 | + | 4.94462i | −0.250259 | + | 0.249741i | ||||
\(393\) | −21.0441 | + | 6.96529i | −1.06153 | + | 0.351352i | ||||
\(394\) | − | 22.2690i | − | 1.12190i | ||||||
\(395\) | 28.0522 | 1.41146 | ||||||||
\(396\) | −1.27850 | + | 2.95836i | −0.0642472 | + | 0.148663i | ||||
\(397\) | 13.3341 | 0.669221 | 0.334610 | − | 0.942357i | \(-0.391395\pi\) | ||||
0.334610 | + | 0.942357i | \(0.391395\pi\) | |||||||
\(398\) | 3.50713 | 0.175796 | ||||||||
\(399\) | −16.1937 | + | 11.6947i | −0.810697 | + | 0.585466i | ||||
\(400\) | −11.6252 | −0.581261 | ||||||||
\(401\) | 2.19502 | 0.109614 | 0.0548070 | − | 0.998497i | \(-0.482546\pi\) | ||||
0.0548070 | + | 0.998497i | \(0.482546\pi\) | |||||||
\(402\) | 12.4813 | − | 4.13114i | 0.622512 | − | 0.206042i | ||||
\(403\) | −32.7039 | −1.62910 | ||||||||
\(404\) | − | 8.79633i | − | 0.437634i | ||||||
\(405\) | −35.1406 | − | 10.5726i | −1.74615 | − | 0.525357i | ||||
\(406\) | −14.9450 | − | 1.97542i | −0.741709 | − | 0.0980384i | ||||
\(407\) | 4.54964 | 0.225517 | ||||||||
\(408\) | −1.06092 | + | 5.12924i | −0.0525236 | + | 0.253935i | ||||
\(409\) | 3.79885i | 0.187841i | 0.995580 | + | 0.0939204i | \(0.0299399\pi\) | ||||
−0.995580 | + | 0.0939204i | \(0.970060\pi\) | |||||||
\(410\) | 14.0691 | − | 8.12282i | 0.694825 | − | 0.401157i | ||||
\(411\) | 28.4674 | − | 9.42232i | 1.40420 | − | 0.464769i | ||||
\(412\) | −11.3862 | − | 6.57382i | −0.560958 | − | 0.323869i | ||||
\(413\) | −21.8473 | − | 2.88776i | −1.07504 | − | 0.142097i | ||||
\(414\) | 8.07335 | − | 18.6811i | 0.396783 | − | 0.918126i | ||||
\(415\) | 0.162091 | 0.00795674 | ||||||||
\(416\) | 5.50387 | + | 3.17766i | 0.269849 | + | 0.155798i | ||||
\(417\) | −2.09161 | − | 0.432625i | −0.102426 | − | 0.0211857i | ||||
\(418\) | 4.24211 | − | 1.98279i | 0.207488 | − | 0.0969816i | ||||
\(419\) | 16.5211i | 0.807108i | 0.914956 | + | 0.403554i | \(0.132225\pi\) | ||||
−0.914956 | + | 0.403554i | \(0.867775\pi\) | |||||||
\(420\) | 12.2053 | + | 14.1478i | 0.595556 | + | 0.690343i | ||||
\(421\) | 7.50592 | − | 4.33355i | 0.365816 | − | 0.211204i | −0.305813 | − | 0.952092i | \(-0.598928\pi\) |
0.671629 | + | 0.740888i | \(0.265595\pi\) | |||||||
\(422\) | 4.52926 | − | 2.61497i | 0.220481 | − | 0.127295i | ||||
\(423\) | −4.72870 | + | 10.9419i | −0.229917 | + | 0.532011i | ||||
\(424\) | 4.73673 | 0.230036 | ||||||||
\(425\) | 30.4453 | + | 17.5776i | 1.47681 | + | 0.852640i | ||||
\(426\) | −10.0526 | + | 11.2883i | −0.487052 | + | 0.546920i | ||||
\(427\) | 12.3924 | − | 16.1329i | 0.599712 | − | 0.780724i | ||||
\(428\) | 1.67647 | − | 2.90374i | 0.0810354 | − | 0.140357i | ||||
\(429\) | −3.71574 | − | 11.2263i | −0.179398 | − | 0.542010i | ||||
\(430\) | −22.2122 | + | 12.8242i | −1.07117 | + | 0.618439i | ||||
\(431\) | 4.88374 | 0.235241 | 0.117621 | − | 0.993059i | \(-0.462473\pi\) | ||||
0.117621 | + | 0.993059i | \(0.462473\pi\) | |||||||
\(432\) | 4.25339 | + | 2.98474i | 0.204641 | + | 0.143603i | ||||
\(433\) | 9.13958 | + | 5.27674i | 0.439220 | + | 0.253584i | 0.703267 | − | 0.710926i | \(-0.251724\pi\) |
−0.264047 | + | 0.964510i | \(0.585057\pi\) | |||||||
\(434\) | 10.7971 | + | 8.29376i | 0.518276 | + | 0.398113i | ||||
\(435\) | −8.15057 | + | 39.4054i | −0.390790 | + | 1.88935i | ||||
\(436\) | −8.50939 | − | 4.91290i | −0.407526 | − | 0.235285i | ||||
\(437\) | −26.7876 | + | 12.5207i | −1.28142 | + | 0.598948i | ||||
\(438\) | −14.2417 | − | 2.94573i | −0.680494 | − | 0.140752i | ||||
\(439\) | − | 9.52603i | − | 0.454652i | −0.973819 | − | 0.227326i | \(-0.927002\pi\) | ||
0.973819 | − | 0.227326i | \(-0.0729984\pi\) | |||||||
\(440\) | −2.19011 | − | 3.79338i | −0.104409 | − | 0.180842i | ||||
\(441\) | 3.07923 | − | 20.7730i | 0.146630 | − | 0.989191i | ||||
\(442\) | −9.60940 | − | 16.6440i | −0.457073 | − | 0.791673i | ||||
\(443\) | 25.2198 | − | 14.5607i | 1.19823 | − | 0.691798i | 0.238069 | − | 0.971248i | \(-0.423486\pi\) |
0.960160 | + | 0.279450i | \(0.0901522\pi\) | |||||||
\(444\) | 1.48580 | − | 7.18338i | 0.0705129 | − | 0.340908i | ||||
\(445\) | −0.779843 | + | 0.450242i | −0.0369681 | + | 0.0213435i | ||||
\(446\) | −6.31674 | + | 3.64697i | −0.299106 | + | 0.172689i | ||||
\(447\) | 29.3816 | − | 9.72489i | 1.38970 | − | 0.459972i | ||||
\(448\) | −1.01122 | − | 2.44488i | −0.0477757 | − | 0.115510i | ||||
\(449\) | −37.7884 | −1.78335 | −0.891674 | − | 0.452679i | \(-0.850468\pi\) | ||||
−0.891674 | + | 0.452679i | \(0.850468\pi\) | |||||||
\(450\) | 27.9887 | − | 20.8072i | 1.31940 | − | 0.980862i | ||||
\(451\) | 3.70677 | + | 2.14011i | 0.174545 | + | 0.100774i | ||||
\(452\) | 11.3167 | 0.532292 | ||||||||
\(453\) | 26.4038 | + | 23.5135i | 1.24056 | + | 1.10476i | ||||
\(454\) | −0.329401 | − | 0.570539i | −0.0154595 | − | 0.0267767i | ||||
\(455\) | −67.9687 | − | 8.98403i | −3.18642 | − | 0.421178i | ||||
\(456\) | −1.74525 | − | 7.34535i | −0.0817286 | − | 0.343977i | ||||
\(457\) | −2.19166 | + | 3.79607i | −0.102522 | + | 0.177572i | −0.912723 | − | 0.408579i | \(-0.866024\pi\) |
0.810201 | + | 0.586152i | \(0.199358\pi\) | |||||||
\(458\) | −0.556790 | + | 0.964389i | −0.0260171 | + | 0.0450629i | ||||
\(459\) | −6.62622 | − | 14.2480i | −0.309286 | − | 0.665039i | ||||
\(460\) | 13.8299 | + | 23.9540i | 0.644821 | + | 1.11686i | ||||
\(461\) | 11.0809 | − | 6.39758i | 0.516091 | − | 0.297965i | −0.219243 | − | 0.975670i | \(-0.570359\pi\) |
0.735334 | + | 0.677705i | \(0.237025\pi\) | |||||||
\(462\) | −1.62027 | + | 4.64863i | −0.0753816 | + | 0.216274i | ||||
\(463\) | 1.81932 | 0.0845510 | 0.0422755 | − | 0.999106i | \(-0.486539\pi\) | ||||
0.0422755 | + | 0.999106i | \(0.486539\pi\) | |||||||
\(464\) | 2.84891 | − | 4.93446i | 0.132257 | − | 0.229076i | ||||
\(465\) | 24.1692 | − | 27.1400i | 1.12082 | − | 1.25859i | ||||
\(466\) | − | 18.5403i | − | 0.858861i | ||||||
\(467\) | 15.3869 | + | 8.88363i | 0.712021 | + | 0.411085i | 0.811809 | − | 0.583923i | \(-0.198483\pi\) |
−0.0997880 | + | 0.995009i | \(0.531816\pi\) | |||||||
\(468\) | −18.9385 | + | 2.20052i | −0.875434 | + | 0.101719i | ||||
\(469\) | 18.5580 | − | 7.67572i | 0.856928 | − | 0.354432i | ||||
\(470\) | −8.10039 | − | 14.0303i | −0.373643 | − | 0.647169i | ||||
\(471\) | −24.9208 | − | 5.15458i | −1.14829 | − | 0.237510i | ||||
\(472\) | 4.16467 | − | 7.21341i | 0.191694 | − | 0.332024i | ||||
\(473\) | −5.85222 | − | 3.37878i | −0.269085 | − | 0.155356i | ||||
\(474\) | 11.3128 | − | 3.74438i | 0.519615 | − | 0.171985i | ||||
\(475\) | −50.4843 | − | 4.37084i | −2.31638 | − | 0.200548i | ||||
\(476\) | −1.04843 | + | 7.93190i | −0.0480547 | + | 0.363558i | ||||
\(477\) | −11.4041 | + | 8.47797i | −0.522158 | + | 0.388180i | ||||
\(478\) | 16.5866i | 0.758652i | ||||||||
\(479\) | − | 14.5072i | − | 0.662849i | −0.943482 | − | 0.331425i | \(-0.892471\pi\) | ||
0.943482 | − | 0.331425i | \(-0.107529\pi\) | |||||||
\(480\) | −6.70456 | + | 2.21912i | −0.306020 | + | 0.101288i | ||||
\(481\) | 13.4577 | + | 23.3095i | 0.613620 | + | 1.06282i | ||||
\(482\) | 19.1897i | 0.874068i | ||||||||
\(483\) | 10.2315 | − | 29.3547i | 0.465548 | − | 1.33568i | ||||
\(484\) | −4.92298 | + | 8.52684i | −0.223772 | + | 0.387584i | ||||
\(485\) | −28.3414 | − | 49.0887i | −1.28692 | − | 2.22900i | ||||
\(486\) | −15.5826 | + | 0.426839i | −0.706842 | + | 0.0193618i | ||||
\(487\) | 2.57977 | − | 1.48943i | 0.116900 | − | 0.0674925i | −0.440410 | − | 0.897797i | \(-0.645167\pi\) |
0.557310 | + | 0.830304i | \(0.311833\pi\) | |||||||
\(488\) | 3.84448 | + | 6.65884i | 0.174032 | + | 0.301432i | ||||
\(489\) | −26.4750 | − | 5.47605i | −1.19724 | − | 0.247636i | ||||
\(490\) | 20.1612 | + | 20.2030i | 0.910791 | + | 0.912678i | ||||
\(491\) | −21.7386 | + | 12.5508i | −0.981048 | + | 0.566409i | −0.902586 | − | 0.430509i | \(-0.858334\pi\) |
−0.0784619 | + | 0.996917i | \(0.525001\pi\) | |||||||
\(492\) | 4.58953 | − | 5.15368i | 0.206912 | − | 0.232346i | ||||
\(493\) | −14.9221 | + | 8.61525i | −0.672055 | + | 0.388011i | ||||
\(494\) | 22.7067 | + | 15.8688i | 1.02162 | + | 0.713972i | ||||
\(495\) | 12.0624 | + | 5.21297i | 0.542165 | + | 0.234306i | ||||
\(496\) | −4.45649 | + | 2.57296i | −0.200103 | + | 0.115529i | ||||
\(497\) | −14.0654 | + | 18.3108i | −0.630922 | + | 0.821353i | ||||
\(498\) | 0.0653676 | − | 0.0216357i | 0.00292919 | − | 0.000969521i | ||||
\(499\) | −20.7249 | −0.927773 | −0.463887 | − | 0.885895i | \(-0.653546\pi\) | ||||
−0.463887 | + | 0.885895i | \(0.653546\pi\) | |||||||
\(500\) | 27.0137i | 1.20809i | ||||||||
\(501\) | 13.1564 | + | 2.72124i | 0.587782 | + | 0.121576i | ||||
\(502\) | −2.51541 | − | 1.45227i | −0.112268 | − | 0.0648181i | ||||
\(503\) | −19.8551 | − | 11.4633i | −0.885294 | − | 0.511125i | −0.0128938 | − | 0.999917i | \(-0.504104\pi\) |
−0.872400 | + | 0.488792i | \(0.837438\pi\) | |||||||
\(504\) | 6.81053 | + | 4.07635i | 0.303365 | + | 0.181575i | ||||
\(505\) | −35.8662 | −1.59602 | ||||||||
\(506\) | −3.64373 | + | 6.31113i | −0.161984 | + | 0.280564i | ||||
\(507\) | 31.5506 | − | 35.4289i | 1.40121 | − | 1.57345i | ||||
\(508\) | 10.5158 | + | 6.07128i | 0.466562 | + | 0.269369i | ||||
\(509\) | −14.5868 | − | 25.2651i | −0.646549 | − | 1.11986i | −0.983941 | − | 0.178492i | \(-0.942878\pi\) |
0.337392 | − | 0.941364i | \(-0.390455\pi\) | |||||||
\(510\) | 20.9140 | + | 4.32582i | 0.926086 | + | 0.191550i | ||||
\(511\) | −22.0235 | − | 2.91104i | −0.974260 | − | 0.128777i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 17.3488 | + | 14.5609i | 0.765968 | + | 0.642879i | ||||
\(514\) | 10.6628 | + | 18.4686i | 0.470318 | + | 0.814614i | ||||
\(515\) | −26.8041 | + | 46.4261i | −1.18113 | + | 2.04578i | ||||
\(516\) | −7.24591 | + | 8.13657i | −0.318983 | + | 0.358193i | ||||
\(517\) | 2.13420 | − | 3.69654i | 0.0938619 | − | 0.162574i | ||||
\(518\) | 1.46830 | − | 11.1084i | 0.0645135 | − | 0.488076i | ||||
\(519\) | 0.480072 | + | 1.45043i | 0.0210728 | + | 0.0636668i | ||||
\(520\) | 12.9566 | − | 22.4415i | 0.568184 | − | 0.984124i | ||||
\(521\) | −5.56777 | − | 9.64365i | −0.243928 | − | 0.422496i | 0.717902 | − | 0.696145i | \(-0.245103\pi\) |
−0.961830 | + | 0.273649i | \(0.911769\pi\) | |||||||
\(522\) | 1.97286 | + | 16.9792i | 0.0863497 | + | 0.743161i | ||||
\(523\) | 10.3965 | − | 6.00242i | 0.454607 | − | 0.262467i | −0.255167 | − | 0.966897i | \(-0.582130\pi\) |
0.709774 | + | 0.704430i | \(0.248797\pi\) | |||||||
\(524\) | − | 12.7980i | − | 0.559084i | ||||||
\(525\) | 40.3373 | − | 34.7988i | 1.76047 | − | 1.51874i | ||||
\(526\) | −24.8822 | − | 14.3657i | −1.08492 | − | 0.626376i | ||||
\(527\) | 15.5615 | 0.677870 | ||||||||
\(528\) | −1.38956 | − | 1.23745i | −0.0604727 | − | 0.0538531i | ||||
\(529\) | 11.5090 | − | 19.9342i | 0.500393 | − | 0.866706i | ||||
\(530\) | − | 19.3136i | − | 0.838927i | ||||||
\(531\) | 2.88402 | + | 24.8210i | 0.125156 | + | 1.07714i | ||||
\(532\) | −3.47215 | − | 10.9975i | −0.150537 | − | 0.476800i | ||||
\(533\) | 25.3216i | 1.09680i | ||||||||
\(534\) | −0.254395 | + | 0.285665i | −0.0110087 | + | 0.0123619i | ||||
\(535\) | −11.8397 | − | 6.83565i | −0.511875 | − | 0.295531i | ||||
\(536\) | 7.59056i | 0.327862i | ||||||||
\(537\) | 7.50254 | − | 8.42475i | 0.323758 | − | 0.363555i | ||||
\(538\) | 3.16236 | − | 5.47737i | 0.136339 | − | 0.236146i | ||||
\(539\) | −1.95380 | + | 7.26162i | −0.0841562 | + | 0.312780i | ||||
\(540\) | 12.1700 | − | 17.3428i | 0.523713 | − | 0.746315i | ||||
\(541\) | 0.439116 | + | 0.760571i | 0.0188791 | + | 0.0326995i | 0.875311 | − | 0.483561i | \(-0.160657\pi\) |
−0.856432 | + | 0.516261i | \(0.827324\pi\) | |||||||
\(542\) | −11.2321 | −0.482459 | ||||||||
\(543\) | 6.77426 | − | 32.7514i | 0.290712 | − | 1.40550i | ||||
\(544\) | −2.61890 | − | 1.51203i | −0.112285 | − | 0.0648276i | ||||
\(545\) | −20.0319 | + | 34.6962i | −0.858071 | + | 1.48622i | ||||
\(546\) | −28.6094 | + | 5.44933i | −1.22437 | + | 0.233210i | ||||
\(547\) | 24.5555 | + | 14.1771i | 1.04992 | + | 0.606171i | 0.922626 | − | 0.385695i | \(-0.126038\pi\) |
0.127292 | + | 0.991865i | \(0.459372\pi\) | |||||||
\(548\) | 17.3126i | 0.739556i | ||||||||
\(549\) | −21.1742 | − | 9.15077i | −0.903692 | − | 0.390545i | ||||
\(550\) | −10.8154 | + | 6.24429i | −0.461171 | + | 0.266257i | ||||
\(551\) | 14.2271 | − | 20.3575i | 0.606094 | − | 0.867259i | ||||
\(552\) | 8.77462 | + | 7.81411i | 0.373473 | + | 0.332591i | ||||
\(553\) | 16.8206 | − | 6.95712i | 0.715284 | − | 0.295847i | ||||
\(554\) | 6.94047 | + | 12.0212i | 0.294872 | + | 0.510734i | ||||
\(555\) | −29.2895 | − | 6.05820i | −1.24327 | − | 0.257156i | ||||
\(556\) | 0.616575 | − | 1.06794i | 0.0261486 | − | 0.0452907i | ||||
\(557\) | 20.4332i | 0.865783i | 0.901446 | + | 0.432891i | \(0.142507\pi\) | ||||
−0.901446 | + | 0.432891i | \(0.857493\pi\) | |||||||
\(558\) | 6.12424 | − | 14.1710i | 0.259260 | − | 0.599907i | ||||
\(559\) | − | 39.9774i | − | 1.69087i | ||||||
\(560\) | −9.96876 | + | 4.12315i | −0.421257 | + | 0.174235i | ||||
\(561\) | 1.76806 | + | 5.34181i | 0.0746476 | + | 0.225531i | ||||
\(562\) | −4.96581 | + | 8.60104i | −0.209470 | + | 0.362813i | ||||
\(563\) | −5.63759 | − | 9.76458i | −0.237596 | − | 0.411528i | 0.722428 | − | 0.691446i | \(-0.243026\pi\) |
−0.960024 | + | 0.279918i | \(0.909693\pi\) | |||||||
\(564\) | −5.13945 | − | 4.57686i | −0.216410 | − | 0.192721i | ||||
\(565\) | − | 46.1427i | − | 1.94124i | ||||||
\(566\) | 2.44319 | − | 4.23173i | 0.102695 | − | 0.177873i | ||||
\(567\) | −23.6930 | + | 2.37556i | −0.995011 | + | 0.0997642i | ||||
\(568\) | −4.36350 | − | 7.55780i | −0.183088 | − | 0.317118i | ||||
\(569\) | −10.4034 | + | 18.0192i | −0.436133 | + | 0.755404i | −0.997387 | − | 0.0722389i | \(-0.976986\pi\) |
0.561254 | + | 0.827643i | \(0.310319\pi\) | |||||||
\(570\) | −29.9499 | + | 7.11607i | −1.25446 | + | 0.298059i | ||||
\(571\) | −4.73612 | − | 8.20320i | −0.198201 | − | 0.343293i | 0.749744 | − | 0.661727i | \(-0.230176\pi\) |
−0.947945 | + | 0.318434i | \(0.896843\pi\) | |||||||
\(572\) | 6.82731 | 0.285464 | ||||||||
\(573\) | −3.15056 | + | 15.2320i | −0.131616 | + | 0.636324i | ||||
\(574\) | 6.42158 | − | 8.35980i | 0.268032 | − | 0.348931i | ||||
\(575\) | 68.2961 | − | 39.4308i | 2.84814 | − | 1.64438i | ||||
\(576\) | −2.40759 | + | 1.78984i | −0.100316 | + | 0.0745765i | ||||
\(577\) | 13.2596 | + | 22.9664i | 0.552006 | + | 0.956102i | 0.998130 | + | 0.0611311i | \(0.0194708\pi\) |
−0.446124 | + | 0.894971i | \(0.647196\pi\) | |||||||
\(578\) | −3.92756 | − | 6.80273i | −0.163365 | − | 0.282956i | ||||
\(579\) | 0.0285767 | − | 0.138159i | 0.00118761 | − | 0.00574170i | ||||
\(580\) | −20.1198 | − | 11.6162i | −0.835428 | − | 0.482335i | ||||
\(581\) | 0.0971925 | − | 0.0401996i | 0.00403223 | − | 0.00166776i | ||||
\(582\) | −17.9817 | − | 16.0134i | −0.745367 | − | 0.663775i | ||||
\(583\) | 4.40678 | − | 2.54426i | 0.182510 | − | 0.105372i | ||||
\(584\) | 4.19824 | − | 7.27157i | 0.173724 | − | 0.300900i | ||||
\(585\) | 8.97239 | + | 77.2201i | 0.370963 | + | 3.19266i | ||||
\(586\) | 5.22364 | 0.215786 | ||||||||
\(587\) | 1.60097 | − | 0.924319i | 0.0660790 | − | 0.0381507i | −0.466597 | − | 0.884470i | \(-0.654520\pi\) |
0.532675 | + | 0.846320i | \(0.321187\pi\) | |||||||
\(588\) | 10.8272 | + | 5.45630i | 0.446507 | + | 0.225014i | ||||
\(589\) | −20.3204 | + | 9.49792i | −0.837287 | + | 0.391355i | ||||
\(590\) | −29.4120 | − | 16.9810i | −1.21087 | − | 0.699098i | ||||
\(591\) | −36.6174 | + | 12.1199i | −1.50624 | + | 0.498544i | ||||
\(592\) | 3.66771 | + | 2.11756i | 0.150742 | + | 0.0870310i | ||||
\(593\) | −14.9410 | + | 8.62619i | −0.613553 | + | 0.354235i | −0.774355 | − | 0.632752i | \(-0.781925\pi\) |
0.160802 | + | 0.986987i | \(0.448592\pi\) | |||||||
\(594\) | 5.56031 | + | 0.492192i | 0.228142 | + | 0.0201949i | ||||
\(595\) | 32.3415 | + | 4.27487i | 1.32587 | + | 0.175253i | ||||
\(596\) | 17.8685i | 0.731923i | ||||||||
\(597\) | −1.90874 | − | 5.76685i | −0.0781197 | − | 0.236021i | ||||
\(598\) | −43.1123 | −1.76299 | ||||||||
\(599\) | 37.2669 | 1.52268 | 0.761341 | − | 0.648351i | \(-0.224541\pi\) | ||||
0.761341 | + | 0.648351i | \(0.224541\pi\) | |||||||
\(600\) | 6.32699 | + | 19.1156i | 0.258298 | + | 0.780391i | ||||
\(601\) | 40.1070i | 1.63600i | 0.575219 | + | 0.817999i | \(0.304917\pi\) | ||||
−0.575219 | + | 0.817999i | \(0.695083\pi\) | |||||||
\(602\) | −10.1383 | + | 13.1984i | −0.413207 | + | 0.537926i | ||||
\(603\) | −13.5858 | − | 18.2749i | −0.553258 | − | 0.744213i | ||||
\(604\) | −17.6780 | + | 10.2064i | −0.719308 | + | 0.415293i | ||||
\(605\) | 34.7674 | + | 20.0730i | 1.41349 | + | 0.816082i | ||||
\(606\) | −14.4640 | + | 4.78738i | −0.587560 | + | 0.194474i | ||||
\(607\) | 10.0993 | + | 5.83086i | 0.409920 | + | 0.236667i | 0.690755 | − | 0.723089i | \(-0.257278\pi\) |
−0.280836 | + | 0.959756i | \(0.590612\pi\) | |||||||
\(608\) | 4.34265 | + | 0.375980i | 0.176118 | + | 0.0152480i | ||||
\(609\) | 4.88557 | + | 25.6496i | 0.197973 | + | 1.03937i | ||||
\(610\) | 27.1508 | − | 15.6755i | 1.09930 | − | 0.634683i | ||||
\(611\) | 25.2517 | 1.02157 | ||||||||
\(612\) | 9.01153 | − | 1.04707i | 0.364269 | − | 0.0423254i | ||||
\(613\) | −16.8208 | + | 29.1346i | −0.679388 | + | 1.17673i | 0.295778 | + | 0.955257i | \(0.404421\pi\) |
−0.975166 | + | 0.221477i | \(0.928912\pi\) | |||||||
\(614\) | −5.40797 | + | 3.12229i | −0.218248 | + | 0.126006i | ||||
\(615\) | −21.0136 | − | 18.7134i | −0.847351 | − | 0.754595i | ||||
\(616\) | −2.25401 | − | 1.73141i | −0.0908165 | − | 0.0697607i | ||||
\(617\) | 2.35772 | + | 1.36123i | 0.0949181 | + | 0.0548010i | 0.546708 | − | 0.837324i | \(-0.315881\pi\) |
−0.451790 | + | 0.892125i | \(0.649214\pi\) | |||||||
\(618\) | −4.61258 | + | 22.3004i | −0.185545 | + | 0.897052i | ||||
\(619\) | 2.21738 | + | 3.84062i | 0.0891240 | + | 0.154367i | 0.907141 | − | 0.420827i | \(-0.138260\pi\) |
−0.818017 | + | 0.575194i | \(0.804927\pi\) | |||||||
\(620\) | 10.4910 | + | 18.1709i | 0.421328 | + | 0.729762i | ||||
\(621\) | −35.1117 | − | 3.10804i | −1.40898 | − | 0.124721i | ||||
\(622\) | −13.4139 | + | 7.74450i | −0.537847 | + | 0.310526i | ||||
\(623\) | −0.355944 | + | 0.463379i | −0.0142606 | + | 0.0185649i | ||||
\(624\) | 2.22963 | − | 10.7796i | 0.0892566 | − | 0.431528i | ||||
\(625\) | 52.0195 | 2.08078 | ||||||||
\(626\) | 2.62607 | + | 4.54849i | 0.104959 | + | 0.181794i | ||||
\(627\) | −5.56911 | − | 5.89626i | −0.222409 | − | 0.235474i | ||||
\(628\) | 7.34628 | − | 12.7241i | 0.293149 | − | 0.507748i | ||||
\(629\) | −6.40359 | − | 11.0914i | −0.255328 | − | 0.442241i | ||||
\(630\) | 16.6209 | − | 27.7693i | 0.662193 | − | 1.10636i | ||||
\(631\) | 20.1135 | − | 34.8376i | 0.800706 | − | 1.38686i | −0.118447 | − | 0.992960i | \(-0.537791\pi\) |
0.919152 | − | 0.393902i | \(-0.128875\pi\) | |||||||
\(632\) | 6.87993i | 0.273669i | ||||||||
\(633\) | −6.76489 | − | 6.02437i | −0.268880 | − | 0.239447i | ||||
\(634\) | 4.04167 | + | 7.00037i | 0.160515 | + | 0.278020i | ||||
\(635\) | 24.7550 | − | 42.8770i | 0.982374 | − | 1.70152i | ||||
\(636\) | −2.57795 | − | 7.78871i | −0.102222 | − | 0.308842i | ||||
\(637\) | −42.9833 | + | 11.4697i | −1.70306 | + | 0.454444i | ||||
\(638\) | − | 6.12098i | − | 0.242332i | ||||||
\(639\) | 24.0327 | + | 10.3861i | 0.950720 | + | 0.410869i | ||||
\(640\) | − | 4.07740i | − | 0.161173i | ||||||
\(641\) | −15.2398 | + | 26.3961i | −0.601937 | + | 1.04258i | 0.390591 | + | 0.920564i | \(0.372271\pi\) |
−0.992528 | + | 0.122020i | \(0.961063\pi\) | |||||||
\(642\) | −5.68709 | − | 1.17631i | −0.224452 | − | 0.0464253i | ||||
\(643\) | 18.1504 | + | 31.4373i | 0.715780 | + | 1.23977i | 0.962658 | + | 0.270721i | \(0.0872621\pi\) |
−0.246877 | + | 0.969047i | \(0.579405\pi\) | |||||||
\(644\) | 14.2334 | + | 10.9333i | 0.560873 | + | 0.430834i | ||||
\(645\) | 33.1761 | + | 29.5445i | 1.30631 | + | 1.16331i | ||||
\(646\) | −10.8045 | − | 7.55086i | −0.425098 | − | 0.297085i | ||||
\(647\) | 4.72685 | − | 2.72905i | 0.185832 | − | 0.107290i | −0.404198 | − | 0.914671i | \(-0.632449\pi\) |
0.590030 | + | 0.807382i | \(0.299116\pi\) | |||||||
\(648\) | 2.59298 | − | 8.61838i | 0.101862 | − | 0.338562i | ||||
\(649\) | − | 8.94793i | − | 0.351237i | ||||||
\(650\) | −63.9836 | − | 36.9410i | −2.50964 | − | 1.44894i | ||||
\(651\) | 7.76134 | − | 22.2677i | 0.304191 | − | 0.872741i | ||||
\(652\) | 7.80445 | − | 13.5177i | 0.305646 | − | 0.529394i | ||||
\(653\) | −11.0711 | − | 6.39190i | −0.433245 | − | 0.250134i | 0.267483 | − | 0.963563i | \(-0.413808\pi\) |
−0.700728 | + | 0.713428i | \(0.747141\pi\) | |||||||
\(654\) | −3.44718 | + | 16.6660i | −0.134795 | + | 0.651693i | ||||
\(655\) | −52.1827 | −2.03895 | ||||||||
\(656\) | 1.99215 | + | 3.45051i | 0.0777806 | + | 0.134720i | ||||
\(657\) | 2.90727 | + | 25.0211i | 0.113423 | + | 0.976167i | ||||
\(658\) | −8.33673 | − | 6.40385i | −0.325000 | − | 0.249648i | ||||
\(659\) | −13.2530 | + | 22.9548i | −0.516262 | + | 0.894192i | 0.483560 | + | 0.875311i | \(0.339344\pi\) |
−0.999822 | + | 0.0188808i | \(0.993990\pi\) | |||||||
\(660\) | −5.04558 | + | 5.66578i | −0.196399 | + | 0.220540i | ||||
\(661\) | − | 27.5646i | − | 1.07214i | −0.844174 | − | 0.536069i | \(-0.819909\pi\) | ||
0.844174 | − | 0.536069i | \(-0.180091\pi\) | |||||||
\(662\) | −21.1450 | − | 12.2081i | −0.821824 | − | 0.474480i | ||||
\(663\) | −22.1382 | + | 24.8594i | −0.859775 | + | 0.965459i | ||||
\(664\) | 0.0397535i | 0.00154274i | ||||||||
\(665\) | −44.8411 | + | 14.1574i | −1.73886 | + | 0.548999i | ||||
\(666\) | −12.6204 | + | 1.46640i | −0.489032 | + | 0.0568218i | ||||
\(667\) | 38.6521i | 1.49662i | ||||||||
\(668\) | −3.87830 | + | 6.71742i | −0.150056 | + | 0.259905i | ||||
\(669\) | 9.43466 | + | 8.40190i | 0.364765 | + | 0.324836i | ||||
\(670\) | 30.9497 | 1.19569 | ||||||||
\(671\) | 7.15337 | + | 4.13000i | 0.276153 | + | 0.159437i | ||||
\(672\) | −3.46981 | + | 2.99339i | −0.133851 | + | 0.115473i | ||||
\(673\) | − | 32.6278i | − | 1.25771i | −0.777523 | − | 0.628854i | \(-0.783524\pi\) | ||
0.777523 | − | 0.628854i | \(-0.216476\pi\) | |||||||
\(674\) | 7.76773 | − | 4.48470i | 0.299202 | − | 0.172744i | ||||
\(675\) | −49.4466 | − | 34.6982i | −1.90320 | − | 1.33554i | ||||
\(676\) | 13.6950 | + | 23.7205i | 0.526732 | + | 0.912327i | ||||
\(677\) | −10.8406 | + | 18.7764i | −0.416637 | + | 0.721637i | −0.995599 | − | 0.0937179i | \(-0.970125\pi\) |
0.578961 | + | 0.815355i | \(0.303458\pi\) | |||||||
\(678\) | −6.15907 | − | 18.6083i | −0.236538 | − | 0.714646i | ||||
\(679\) | −29.1683 | − | 22.4056i | −1.11938 | − | 0.859848i | ||||
\(680\) | −6.16514 | + | 10.6783i | −0.236422 | + | 0.409495i | ||||
\(681\) | −0.758874 | + | 0.852155i | −0.0290801 | + | 0.0326546i | ||||
\(682\) | −2.76404 | + | 4.78746i | −0.105841 | + | 0.183321i | ||||
\(683\) | 20.9807 | + | 36.3396i | 0.802804 | + | 1.39050i | 0.917764 | + | 0.397127i | \(0.129993\pi\) |
−0.114960 | + | 0.993370i | \(0.536674\pi\) | |||||||
\(684\) | −11.1283 | + | 6.86743i | −0.425500 | + | 0.262583i | ||||
\(685\) | 70.5903 | 2.69712 | ||||||||
\(686\) | 17.0995 | + | 7.11395i | 0.652861 | + | 0.271612i | ||||
\(687\) | 1.88880 | + | 0.390676i | 0.0720621 | + | 0.0149052i | ||||
\(688\) | −3.14519 | − | 5.44764i | −0.119909 | − | 0.207689i | ||||
\(689\) | 26.0703 | + | 15.0517i | 0.993201 | + | 0.573425i | ||||
\(690\) | 31.8613 | − | 35.7777i | 1.21294 | − | 1.36203i | ||||
\(691\) | −0.748218 | + | 1.29595i | −0.0284635 | + | 0.0493003i | −0.879906 | − | 0.475147i | \(-0.842395\pi\) |
0.851443 | + | 0.524448i | \(0.175728\pi\) | |||||||
\(692\) | −0.882084 | −0.0335318 | ||||||||
\(693\) | 8.52567 | + | 0.134234i | 0.323864 | + | 0.00509912i | ||||
\(694\) | 15.1730 | + | 8.76013i | 0.575959 | + | 0.332530i | ||||
\(695\) | −4.35442 | − | 2.51403i | −0.165173 | − | 0.0953624i | ||||
\(696\) | −9.66435 | − | 1.99896i | −0.366326 | − | 0.0757704i | ||||
\(697\) | − | 12.0488i | − | 0.456379i | ||||||
\(698\) | −7.55071 | −0.285799 | ||||||||
\(699\) | −30.4862 | + | 10.0905i | −1.15309 | + | 0.381657i | ||||
\(700\) | 11.7556 | + | 28.4222i | 0.444322 | + | 1.07426i | ||||
\(701\) | 16.6203 | − | 9.59573i | 0.627740 | − | 0.362426i | −0.152136 | − | 0.988359i | \(-0.548615\pi\) |
0.779876 | + | 0.625934i | \(0.215282\pi\) | |||||||
\(702\) | 13.9256 | + | 29.9434i | 0.525588 | + | 1.13014i | ||||
\(703\) | 15.1315 | + | 10.5748i | 0.570693 | + | 0.398836i | ||||
\(704\) | 0.930342 | − | 0.537133i | 0.0350636 | − | 0.0202440i | ||||
\(705\) | −18.6617 | + | 20.9556i | −0.702840 | + | 0.789234i | ||||
\(706\) | 18.3795 | − | 10.6114i | 0.691722 | − | 0.399366i | ||||
\(707\) | −21.5060 | + | 8.89502i | −0.808815 | + | 0.334532i | ||||
\(708\) | −14.1278 | − | 2.92217i | −0.530955 | − | 0.109822i | ||||
\(709\) | 11.0038 | + | 19.0591i | 0.413255 | + | 0.715778i | 0.995243 | − | 0.0974188i | \(-0.0310586\pi\) |
−0.581989 | + | 0.813197i | \(0.697725\pi\) | |||||||
\(710\) | −30.8162 | + | 17.7917i | −1.15651 | + | 0.667712i | ||||
\(711\) | −12.3139 | − | 16.5640i | −0.461809 | − | 0.621200i | ||||
\(712\) | −0.110424 | − | 0.191260i | −0.00413831 | − | 0.00716776i | ||||
\(713\) | 17.4541 | − | 30.2314i | 0.653661 | − | 1.13217i | ||||
\(714\) | 13.6132 | − | 2.59296i | 0.509461 | − | 0.0970389i | ||||
\(715\) | − | 27.8377i | − | 1.04107i | ||||||
\(716\) | 3.25659 | + | 5.64058i | 0.121704 | + | 0.210798i | ||||
\(717\) | 27.2737 | − | 9.02719i | 1.01855 | − | 0.337127i | ||||
\(718\) | 14.7462i | 0.550322i | ||||||||
\(719\) | 3.79925i | 0.141688i | 0.997487 | + | 0.0708441i | \(0.0225693\pi\) | ||||
−0.997487 | + | 0.0708441i | \(0.977431\pi\) | |||||||
\(720\) | 7.29788 | + | 9.81671i | 0.271976 | + | 0.365847i | ||||
\(721\) | −4.55825 | + | 34.4855i | −0.169758 | + | 1.28431i | ||||
\(722\) | 18.7173 | + | 3.26550i | 0.696585 | + | 0.121529i | ||||
\(723\) | 31.5541 | − | 10.4440i | 1.17351 | − | 0.388415i | ||||
\(724\) | 16.7223 | + | 9.65465i | 0.621481 | + | 0.358812i | ||||
\(725\) | −33.1192 | + | 57.3641i | −1.23002 | + | 2.13045i | ||||
\(726\) | 16.7002 | + | 3.45425i | 0.619802 | + | 0.128199i | ||||
\(727\) | 11.8028 | + | 20.4431i | 0.437742 | + | 0.758191i | 0.997515 | − | 0.0704549i | \(-0.0224451\pi\) |
−0.559773 | + | 0.828646i | \(0.689112\pi\) | |||||||
\(728\) | 2.20337 | − | 16.6696i | 0.0816624 | − | 0.617817i | ||||
\(729\) | 9.18266 | + | 25.3905i | 0.340098 | + | 0.940390i | ||||
\(730\) | −29.6491 | − | 17.1179i | −1.09736 | − | 0.633563i | ||||
\(731\) | 19.0225i | 0.703571i | ||||||||
\(732\) | 8.85693 | − | 9.94563i | 0.327362 | − | 0.367601i | ||||
\(733\) | 10.2965 | − | 17.8340i | 0.380310 | − | 0.658716i | −0.610797 | − | 0.791787i | \(-0.709151\pi\) |
0.991106 | + | 0.133072i | \(0.0424841\pi\) | |||||||
\(734\) | 24.9894 | 0.922374 | ||||||||
\(735\) | 22.2475 | − | 44.1469i | 0.820613 | − | 1.62838i | ||||
\(736\) | −5.87482 | + | 3.39183i | −0.216549 | + | 0.125025i | ||||
\(737\) | 4.07714 | + | 7.06182i | 0.150183 | + | 0.260125i | ||||
\(738\) | −10.9721 | − | 4.74179i | −0.403890 | − | 0.174548i | ||||
\(739\) | 14.2365 | − | 24.6583i | 0.523698 | − | 0.907072i | −0.475921 | − | 0.879488i | \(-0.657885\pi\) |
0.999619 | − | 0.0275839i | \(-0.00878135\pi\) | |||||||
\(740\) | 8.63413 | − | 14.9547i | 0.317397 | − | 0.549747i | ||||
\(741\) | 13.7354 | − | 45.9736i | 0.504583 | − | 1.68888i | ||||
\(742\) | −4.78988 | − | 11.5807i | −0.175842 | − | 0.425142i | ||||
\(743\) | 22.0790 | + | 38.2419i | 0.809998 | + | 1.40296i | 0.912864 | + | 0.408263i | \(0.133865\pi\) |
−0.102866 | + | 0.994695i | \(0.532801\pi\) | |||||||
\(744\) | 6.65621 | + | 5.92759i | 0.244028 | + | 0.217316i | ||||
\(745\) | 72.8571 | 2.66928 | ||||||||
\(746\) | −4.75225 | − | 2.74372i | −0.173992 | − | 0.100455i | ||||
\(747\) | −0.0711523 | − | 0.0957102i | −0.00260332 | − | 0.00350185i | ||||
\(748\) | −3.24864 | −0.118782 | ||||||||
\(749\) | −8.79457 | − | 1.16246i | −0.321346 | − | 0.0424752i | ||||
\(750\) | 44.4191 | − | 14.7021i | 1.62196 | − | 0.536845i | ||||
\(751\) | −20.3837 | + | 11.7685i | −0.743811 | + | 0.429440i | −0.823453 | − | 0.567384i | \(-0.807956\pi\) |
0.0796421 | + | 0.996824i | \(0.474622\pi\) | |||||||
\(752\) | 3.44099 | − | 1.98666i | 0.125480 | − | 0.0724459i | ||||
\(753\) | −1.01900 | + | 4.92654i | −0.0371344 | + | 0.179533i | ||||
\(754\) | 31.3600 | − | 18.1057i | 1.14207 | − | 0.659372i | ||||
\(755\) | 41.6156 | + | 72.0804i | 1.51455 | + | 2.62327i | ||||
\(756\) | 2.99621 | − | 13.4173i | 0.108971 | − | 0.487981i | ||||
\(757\) | −16.0174 | − | 27.7430i | −0.582163 | − | 1.00834i | −0.995223 | − | 0.0976315i | \(-0.968873\pi\) |
0.413060 | − | 0.910704i | \(-0.364460\pi\) | |||||||
\(758\) | 20.9015i | 0.759178i | ||||||||
\(759\) | 12.3606 | + | 2.55665i | 0.448662 | + | 0.0928007i | ||||
\(760\) | 1.53302 | − | 17.7067i | 0.0556085 | − | 0.642291i | ||||
\(761\) | 26.4000 | + | 15.2420i | 0.956999 | + | 0.552524i | 0.895248 | − | 0.445568i | \(-0.146998\pi\) |
0.0617510 | + | 0.998092i | \(0.480332\pi\) | |||||||
\(762\) | 4.25996 | − | 20.5956i | 0.154322 | − | 0.746099i | ||||
\(763\) | −3.40658 | + | 25.7725i | −0.123326 | + | 0.933025i | ||||
\(764\) | −7.77719 | − | 4.49016i | −0.281369 | − | 0.162448i | ||||
\(765\) | −4.26933 | − | 36.7436i | −0.154358 | − | 1.32847i | ||||
\(766\) | −19.1265 | −0.691068 | ||||||||
\(767\) | 45.8435 | − | 26.4678i | 1.65531 | − | 0.955696i | ||||
\(768\) | −0.544247 | − | 1.64432i | −0.0196388 | − | 0.0593344i | ||||
\(769\) | 24.0254 | − | 41.6132i | 0.866377 | − | 1.50061i | 0.000704420 | − | 1.00000i | \(-0.499776\pi\) |
0.865673 | − | 0.500610i | \(-0.166891\pi\) | |||||||
\(770\) | −7.05967 | + | 9.19049i | −0.254413 | + | 0.331202i | ||||
\(771\) | 24.5651 | − | 27.5846i | 0.884690 | − | 0.993436i | ||||
\(772\) | 0.0705418 | + | 0.0407273i | 0.00253886 | + | 0.00146581i | ||||
\(773\) | −32.6930 | −1.17589 | −0.587943 | − | 0.808903i | \(-0.700062\pi\) | ||||
−0.587943 | + | 0.808903i | \(0.700062\pi\) | |||||||
\(774\) | 17.3227 | + | 7.48629i | 0.622652 | + | 0.269089i | ||||
\(775\) | 51.8077 | − | 29.9112i | 1.86099 | − | 1.07444i | ||||
\(776\) | 12.0392 | − | 6.95084i | 0.432183 | − | 0.249521i | ||||
\(777\) | −19.0650 | + | 3.63137i | −0.683951 | + | 0.130275i | ||||
\(778\) | 30.6695i | 1.09955i | ||||||||
\(779\) | 7.35391 | + | 15.7334i | 0.263481 | + | 0.563707i | ||||
\(780\) | −43.9526 | − | 9.09110i | −1.57376 | − | 0.325514i | ||||
\(781\) | −8.11909 | − | 4.68756i | −0.290524 | − | 0.167734i | ||||
\(782\) | 20.5141 | 0.733584 | ||||||||
\(783\) | 26.8456 | − | 12.4849i | 0.959384 | − | 0.446175i | ||||
\(784\) | −4.95487 | + | 4.94462i | −0.176960 | + | 0.176594i | ||||
\(785\) | −51.8814 | − | 29.9538i | −1.85173 | − | 1.06910i | ||||
\(786\) | −21.0441 | + | 6.96529i | −0.750617 | + | 0.248444i | ||||
\(787\) | −11.3817 | + | 6.57120i | −0.405712 | + | 0.234238i | −0.688946 | − | 0.724813i | \(-0.741926\pi\) |
0.283234 | + | 0.959051i | \(0.408593\pi\) | |||||||
\(788\) | − | 22.2690i | − | 0.793301i | ||||||
\(789\) | −10.0798 | + | 48.7329i | −0.358852 | + | 1.73494i | ||||
\(790\) | 28.0522 | 0.998054 | ||||||||
\(791\) | −11.4437 | − | 27.6679i | −0.406890 | − | 0.983758i | ||||
\(792\) | −1.27850 | + | 2.95836i | −0.0454296 | + | 0.105121i | ||||
\(793\) | 48.8658i | 1.73528i | ||||||||
\(794\) | 13.3341 | 0.473211 | ||||||||
\(795\) | −31.7577 | + | 10.5114i | −1.12633 | + | 0.372799i | ||||
\(796\) | 3.50713 | 0.124307 | ||||||||
\(797\) | −25.4281 | −0.900709 | −0.450354 | − | 0.892850i | \(-0.648702\pi\) | ||||
−0.450354 | + | 0.892850i | \(0.648702\pi\) | |||||||
\(798\) | −16.1937 | + | 11.6947i | −0.573249 | + | 0.413987i | ||||
\(799\) | −12.0155 | −0.425078 | ||||||||
\(800\) | −11.6252 | −0.411013 | ||||||||
\(801\) | 0.608179 | + | 0.262834i | 0.0214889 | + | 0.00928680i | ||||
\(802\) | 2.19502 | 0.0775088 | ||||||||
\(803\) | − | 9.02006i | − | 0.318311i | ||||||
\(804\) | 12.4813 | − | 4.13114i | 0.440182 | − | 0.145694i | ||||
\(805\) | 44.5797 | − | 58.0351i | 1.57123 | − | 2.04547i | ||||
\(806\) | −32.7039 | −1.15195 | ||||||||
\(807\) | −10.7277 | − | 2.21890i | −0.377632 | − | 0.0781088i | ||||
\(808\) | − | 8.79633i | − | 0.309454i | ||||||
\(809\) | 9.16404 | − | 5.29086i | 0.322191 | − | 0.186017i | −0.330178 | − | 0.943919i | \(-0.607109\pi\) |
0.652369 | + | 0.757902i | \(0.273775\pi\) | |||||||
\(810\) | −35.1406 | − | 10.5726i | −1.23471 | − | 0.371484i | ||||
\(811\) | −12.0831 | − | 6.97618i | −0.424295 | − | 0.244967i | 0.272618 | − | 0.962122i | \(-0.412110\pi\) |
−0.696913 | + | 0.717156i | \(0.745444\pi\) | |||||||
\(812\) | −14.9450 | − | 1.97542i | −0.524468 | − | 0.0693236i | ||||
\(813\) | 6.11303 | + | 18.4692i | 0.214393 | + | 0.647742i | ||||
\(814\) | 4.54964 | 0.159465 | ||||||||
\(815\) | −55.1171 | − | 31.8219i | −1.93067 | − | 1.11467i | ||||
\(816\) | −1.06092 | + | 5.12924i | −0.0371398 | + | 0.179559i | ||||
\(817\) | −11.6103 | − | 24.8397i | −0.406193 | − | 0.869032i | ||||
\(818\) | 3.79885i | 0.132824i | ||||||||
\(819\) | 24.5310 | + | 44.0772i | 0.857184 | + | 1.54018i | ||||
\(820\) | 14.0691 | − | 8.12282i | 0.491315 | − | 0.283661i | ||||
\(821\) | 9.80498 | − | 5.66091i | 0.342196 | − | 0.197567i | −0.319047 | − | 0.947739i | \(-0.603363\pi\) |
0.661243 | + | 0.750172i | \(0.270029\pi\) | |||||||
\(822\) | 28.4674 | − | 9.42232i | 0.992916 | − | 0.328641i | ||||
\(823\) | 22.1713 | 0.772843 | 0.386422 | − | 0.922322i | \(-0.373711\pi\) | ||||
0.386422 | + | 0.922322i | \(0.373711\pi\) | |||||||
\(824\) | −11.3862 | − | 6.57382i | −0.396657 | − | 0.229010i | ||||
\(825\) | 16.1539 | + | 14.3856i | 0.562406 | + | 0.500843i | ||||
\(826\) | −21.8473 | − | 2.88776i | −0.760165 | − | 0.100478i | ||||
\(827\) | 20.8618 | − | 36.1336i | 0.725434 | − | 1.25649i | −0.233361 | − | 0.972390i | \(-0.574972\pi\) |
0.958795 | − | 0.284099i | \(-0.0916943\pi\) | |||||||
\(828\) | 8.07335 | − | 18.6811i | 0.280568 | − | 0.649213i | ||||
\(829\) | 30.2594 | − | 17.4703i | 1.05095 | − | 0.606769i | 0.128038 | − | 0.991769i | \(-0.459132\pi\) |
0.922916 | + | 0.385001i | \(0.125799\pi\) | |||||||
\(830\) | 0.162091 | 0.00562626 | ||||||||
\(831\) | 15.9895 | − | 17.9549i | 0.554669 | − | 0.622849i | ||||
\(832\) | 5.50387 | + | 3.17766i | 0.190812 | + | 0.110166i | ||||
\(833\) | 20.4527 | − | 5.45761i | 0.708645 | − | 0.189095i | ||||
\(834\) | −2.09161 | − | 0.432625i | −0.0724264 | − | 0.0149806i | ||||
\(835\) | 27.3896 | + | 15.8134i | 0.947857 | + | 0.547245i | ||||
\(836\) | 4.24211 | − | 1.98279i | 0.146716 | − | 0.0685764i | ||||
\(837\) | −26.6348 | − | 2.35768i | −0.920634 | − | 0.0814934i | ||||
\(838\) | 16.5211i | 0.570711i | ||||||||
\(839\) | 2.18245 | + | 3.78011i | 0.0753465 | + | 0.130504i | 0.901237 | − | 0.433327i | \(-0.142660\pi\) |
−0.825890 | + | 0.563831i | \(0.809327\pi\) | |||||||
\(840\) | 12.2053 | + | 14.1478i | 0.421121 | + | 0.488147i | ||||
\(841\) | −1.73258 | − | 3.00092i | −0.0597442 | − | 0.103480i | ||||
\(842\) | 7.50592 | − | 4.33355i | 0.258671 | − | 0.149344i | ||||
\(843\) | 16.8455 | + | 3.48430i | 0.580190 | + | 0.120006i | ||||
\(844\) | 4.52926 | − | 2.61497i | 0.155904 | − | 0.0900110i | ||||
\(845\) | 96.7180 | − | 55.8402i | 3.32720 | − | 1.92096i | ||||
\(846\) | −4.72870 | + | 10.9419i | −0.162576 | + | 0.376189i | ||||
\(847\) | 25.8253 | + | 3.41356i | 0.887368 | + | 0.117291i | ||||
\(848\) | 4.73673 | 0.162660 | ||||||||
\(849\) | −8.28803 | − | 1.71429i | −0.284444 | − | 0.0588341i | ||||
\(850\) | 30.4453 | + | 17.5776i | 1.04427 | + | 0.602907i | ||||
\(851\) | −28.7296 | −0.984837 | ||||||||
\(852\) | −10.0526 | + | 11.2883i | −0.344398 | + | 0.386731i | ||||
\(853\) | −13.8221 | − | 23.9406i | −0.473260 | − | 0.819710i | 0.526272 | − | 0.850316i | \(-0.323589\pi\) |
−0.999532 | + | 0.0306066i | \(0.990256\pi\) | |||||||
\(854\) | 12.3924 | − | 16.1329i | 0.424061 | − | 0.552055i | ||||
\(855\) | 28.0013 | + | 45.3744i | 0.957624 | + | 1.55177i | ||||
\(856\) | 1.67647 | − | 2.90374i | 0.0573007 | − | 0.0992476i | ||||
\(857\) | −6.56082 | + | 11.3637i | −0.224113 | + | 0.388176i | −0.956053 | − | 0.293194i | \(-0.905282\pi\) |
0.731940 | + | 0.681369i | \(0.238615\pi\) | |||||||
\(858\) | −3.71574 | − | 11.2263i | −0.126853 | − | 0.383259i | ||||
\(859\) | 19.0279 | + | 32.9574i | 0.649225 | + | 1.12449i | 0.983308 | + | 0.181947i | \(0.0582399\pi\) |
−0.334083 | + | 0.942544i | \(0.608427\pi\) | |||||||
\(860\) | −22.2122 | + | 12.8242i | −0.757430 | + | 0.437302i | ||||
\(861\) | −17.2411 | − | 6.00934i | −0.587576 | − | 0.204798i | ||||
\(862\) | 4.88374 | 0.166341 | ||||||||
\(863\) | −22.1882 | + | 38.4312i | −0.755297 | + | 1.30821i | 0.189930 | + | 0.981798i | \(0.439174\pi\) |
−0.945227 | + | 0.326415i | \(0.894159\pi\) | |||||||
\(864\) | 4.25339 | + | 2.98474i | 0.144703 | + | 0.101543i | ||||
\(865\) | 3.59661i | 0.122288i | ||||||||
\(866\) | 9.13958 | + | 5.27674i | 0.310576 | + | 0.179311i | ||||
\(867\) | −9.04832 | + | 10.1605i | −0.307297 | + | 0.345070i | ||||
\(868\) | 10.7971 | + | 8.29376i | 0.366476 | + | 0.281509i | ||||
\(869\) | 3.69544 | + | 6.40069i | 0.125359 | + | 0.217129i | ||||
\(870\) | −8.15057 | + | 39.4054i | −0.276330 | + | 1.33597i | ||||
\(871\) | −24.1202 | + | 41.7774i | −0.817282 | + | 1.41557i | ||||
\(872\) | −8.50939 | − | 4.91290i | −0.288164 | − | 0.166372i | ||||
\(873\) | −16.5446 | + | 38.2830i | −0.559951 | + | 1.29568i | ||||
\(874\) | −26.7876 | + | 12.5207i | −0.906104 | + | 0.423520i | ||||
\(875\) | 66.0451 | − | 27.3167i | 2.23273 | − | 0.923475i | ||||
\(876\) | −14.2417 | − | 2.94573i | −0.481182 | − | 0.0995270i | ||||
\(877\) | − | 9.22011i | − | 0.311341i | −0.987809 | − | 0.155671i | \(-0.950246\pi\) | ||
0.987809 | − | 0.155671i | \(-0.0497538\pi\) | |||||||
\(878\) | − | 9.52603i | − | 0.321488i | ||||||
\(879\) | −2.84295 | − | 8.58934i | −0.0958903 | − | 0.289711i | ||||
\(880\) | −2.19011 | − | 3.79338i | −0.0738286 | − | 0.127875i | ||||
\(881\) | 7.14044i | 0.240568i | 0.992740 | + | 0.120284i | \(0.0383804\pi\) | ||||
−0.992740 | + | 0.120284i | \(0.961620\pi\) | |||||||
\(882\) | 3.07923 | − | 20.7730i | 0.103683 | − | 0.699464i | ||||
\(883\) | −21.5312 | + | 37.2932i | −0.724583 | + | 1.25501i | 0.234562 | + | 0.972101i | \(0.424634\pi\) |
−0.959145 | + | 0.282914i | \(0.908699\pi\) | |||||||
\(884\) | −9.60940 | − | 16.6440i | −0.323199 | − | 0.559797i | ||||
\(885\) | −11.9149 | + | 57.6047i | −0.400514 | + | 1.93636i | ||||
\(886\) | 25.2198 | − | 14.5607i | 0.847276 | − | 0.489175i | ||||
\(887\) | −6.56550 | − | 11.3718i | −0.220448 | − | 0.381827i | 0.734496 | − | 0.678613i | \(-0.237419\pi\) |
−0.954944 | + | 0.296786i | \(0.904085\pi\) | |||||||
\(888\) | 1.48580 | − | 7.18338i | 0.0498602 | − | 0.241058i | ||||
\(889\) | 4.20979 | − | 31.8492i | 0.141192 | − | 1.06819i | ||||
\(890\) | −0.779843 | + | 0.450242i | −0.0261404 | + | 0.0150922i | ||||
\(891\) | −2.21686 | − | 9.41082i | −0.0742677 | − | 0.315274i | ||||
\(892\) | −6.31674 | + | 3.64697i | −0.211500 | + | 0.122110i | ||||
\(893\) | 15.6900 | − | 7.33362i | 0.525045 | − | 0.245410i | ||||
\(894\) | 29.3816 | − | 9.72489i | 0.982668 | − | 0.325249i | ||||
\(895\) | 22.9989 | − | 13.2784i | 0.768769 | − | 0.443849i | ||||
\(896\) | −1.01122 | − | 2.44488i | −0.0337825 | − | 0.0816777i | ||||
\(897\) | 23.4638 | + | 70.8906i | 0.783433 | + | 2.36697i | ||||
\(898\) | −37.7884 | −1.26102 | ||||||||
\(899\) | 29.3205i | 0.977894i | ||||||||
\(900\) | 27.9887 | − | 20.8072i | 0.932958 | − | 0.693574i | ||||
\(901\) | −12.4050 | − | 7.16206i | −0.413272 | − | 0.238603i | ||||
\(902\) | 3.70677 | + | 2.14011i | 0.123422 | + | 0.0712577i | ||||
\(903\) | 27.2201 | + | 9.48750i | 0.905830 | + | 0.315724i | ||||
\(904\) | 11.3167 | 0.376387 | ||||||||
\(905\) | 39.3659 | − | 68.1837i | 1.30857 | − | 2.26650i | ||||
\(906\) | 26.4038 | + | 23.5135i | 0.877209 | + | 0.781185i | ||||
\(907\) | 22.6413 | + | 13.0719i | 0.751791 | + | 0.434047i | 0.826341 | − | 0.563170i | \(-0.190419\pi\) |
−0.0745496 | + | 0.997217i | \(0.523752\pi\) | |||||||
\(908\) | −0.329401 | − | 0.570539i | −0.0109315 | − | 0.0189340i | ||||
\(909\) | 15.7440 | + | 21.1779i | 0.522195 | + | 0.702428i | ||||
\(910\) | −67.9687 | − | 8.98403i | −2.25314 | − | 0.297818i | ||||
\(911\) | −32.7316 | −1.08445 | −0.542224 | − | 0.840234i | \(-0.682417\pi\) | ||||
−0.542224 | + | 0.840234i | \(0.682417\pi\) | |||||||
\(912\) | −1.74525 | − | 7.34535i | −0.0577909 | − | 0.243229i | ||||
\(913\) | 0.0213529 | + | 0.0369844i | 0.000706679 | + | 0.00122400i | ||||
\(914\) | −2.19166 | + | 3.79607i | −0.0724937 | + | 0.125563i | ||||
\(915\) | −40.5523 | − | 36.1133i | −1.34062 | − | 1.19387i | ||||
\(916\) | −0.556790 | + | 0.964389i | −0.0183969 | + | 0.0318643i | ||||
\(917\) | −31.2896 | + | 12.9416i | −1.03327 | + | 0.427370i | ||||
\(918\) | −6.62622 | − | 14.2480i | −0.218698 | − | 0.470254i | ||||
\(919\) | −19.0561 | + | 33.0061i | −0.628603 | + | 1.08877i | 0.359230 | + | 0.933249i | \(0.383039\pi\) |
−0.987832 | + | 0.155522i | \(0.950294\pi\) | |||||||
\(920\) | 13.8299 | + | 23.9540i | 0.455957 | + | 0.789741i | ||||
\(921\) | 8.07733 | + | 7.19315i | 0.266157 | + | 0.237022i | ||||
\(922\) | 11.0809 | − | 6.39758i | 0.364931 | − | 0.210693i | ||||
\(923\) | − | 55.4628i | − | 1.82558i | ||||||
\(924\) | −1.62027 | + | 4.64863i | −0.0533028 | + | 0.152929i | ||||
\(925\) | −42.6379 | − | 24.6170i | −1.40193 | − | 0.809403i | ||||
\(926\) | 1.81932 | 0.0597866 | ||||||||
\(927\) | 39.1794 | − | 4.55235i | 1.28682 | − | 0.149519i | ||||
\(928\) | 2.84891 | − | 4.93446i | 0.0935201 | − | 0.161982i | ||||
\(929\) | 36.0008i | 1.18115i | 0.806983 | + | 0.590574i | \(0.201099\pi\) | ||||
−0.806983 | + | 0.590574i | \(0.798901\pi\) | |||||||
\(930\) | 24.1692 | − | 27.1400i | 0.792538 | − | 0.889957i | ||||
\(931\) | −23.3764 | + | 19.6098i | −0.766129 | + | 0.642687i | ||||
\(932\) | − | 18.5403i | − | 0.607307i | ||||||
\(933\) | 20.0349 | + | 17.8418i | 0.655914 | + | 0.584114i | ||||
\(934\) | 15.3869 | + | 8.88363i | 0.503475 | + | 0.290681i | ||||
\(935\) | 13.2460i | 0.433191i | ||||||||
\(936\) | −18.9385 | + | 2.20052i | −0.619026 | + | 0.0719261i | ||||
\(937\) | −24.8204 | + | 42.9901i | −0.810846 | + | 1.40443i | 0.101427 | + | 0.994843i | \(0.467659\pi\) |
−0.912273 | + | 0.409583i | \(0.865674\pi\) | |||||||
\(938\) | 18.5580 | − | 7.67572i | 0.605940 | − | 0.250621i | ||||
\(939\) | 6.04995 | − | 6.79361i | 0.197433 | − | 0.221701i | ||||
\(940\) | −8.10039 | − | 14.0303i | −0.264206 | − | 0.457618i | ||||
\(941\) | −3.92865 | −0.128070 | −0.0640351 | − | 0.997948i | \(-0.520397\pi\) | ||||
−0.0640351 | + | 0.997948i | \(0.520397\pi\) | |||||||
\(942\) | −24.9208 | − | 5.15458i | −0.811963 | − | 0.167945i | ||||
\(943\) | −23.4071 | − | 13.5141i | −0.762241 | − | 0.440080i | ||||
\(944\) | 4.16467 | − | 7.21341i | 0.135548 | − | 0.234777i | ||||
\(945\) | −54.7075 | − | 12.2168i | −1.77964 | − | 0.397412i | ||||
\(946\) | −5.85222 | − | 3.37878i | −0.190272 | − | 0.109854i | ||||
\(947\) | − | 3.69623i | − | 0.120111i | −0.998195 | − | 0.0600556i | \(-0.980872\pi\) | ||
0.998195 | − | 0.0600556i | \(-0.0191278\pi\) | |||||||
\(948\) | 11.3128 | − | 3.74438i | 0.367423 | − | 0.121612i | ||||
\(949\) | 46.2131 | − | 26.6812i | 1.50014 | − | 0.866107i | ||||
\(950\) | −50.4843 | − | 4.37084i | −1.63793 | − | 0.141809i | ||||
\(951\) | 9.31120 | − | 10.4557i | 0.301936 | − | 0.339051i | ||||
\(952\) | −1.04843 | + | 7.93190i | −0.0339798 | + | 0.257074i | ||||
\(953\) | −8.58734 | − | 14.8737i | −0.278171 | − | 0.481806i | 0.692759 | − | 0.721169i | \(-0.256395\pi\) |
−0.970930 | + | 0.239363i | \(0.923062\pi\) | |||||||
\(954\) | −11.4041 | + | 8.47797i | −0.369222 | + | 0.274484i | ||||
\(955\) | −18.3082 | + | 31.7107i | −0.592439 | + | 1.02613i | ||||
\(956\) | 16.5866i | 0.536448i | ||||||||
\(957\) | −10.0649 | + | 3.33133i | −0.325351 | + | 0.107687i | ||||
\(958\) | − | 14.5072i | − | 0.468705i | ||||||
\(959\) | 42.3271 | − | 17.5068i | 1.36681 | − | 0.565325i | ||||
\(960\) | −6.70456 | + | 2.21912i | −0.216389 | + | 0.0716216i | ||||
\(961\) | −2.25977 | + | 3.91404i | −0.0728958 | + | 0.126259i | ||||
\(962\) | 13.4577 | + | 23.3095i | 0.433895 | + | 0.751528i | ||||
\(963\) | 1.16095 | + | 9.99161i | 0.0374111 | + | 0.321975i | ||||
\(964\) | 19.1897i | 0.618059i | ||||||||
\(965\) | 0.166062 | − | 0.287627i | 0.00534572 | − | 0.00925905i | ||||
\(966\) | 10.2315 | − | 29.3547i | 0.329192 | − | 0.944471i | ||||
\(967\) | 9.14064 | + | 15.8321i | 0.293943 | + | 0.509125i | 0.974739 | − | 0.223349i | \(-0.0716990\pi\) |
−0.680795 | + | 0.732474i | \(0.738366\pi\) | |||||||
\(968\) | −4.92298 | + | 8.52684i | −0.158230 | + | 0.274063i | ||||
\(969\) | −6.53572 | + | 21.8756i | −0.209958 | + | 0.702746i | ||||
\(970\) | −28.3414 | − | 49.0887i | −0.909987 | − | 1.57614i | ||||
\(971\) | 6.83298 | 0.219281 | 0.109640 | − | 0.993971i | \(-0.465030\pi\) | ||||
0.109640 | + | 0.993971i | \(0.465030\pi\) | |||||||
\(972\) | −15.5826 | + | 0.426839i | −0.499813 | + | 0.0136909i | ||||
\(973\) | −3.23448 | − | 0.427530i | −0.103693 | − | 0.0137060i | ||||
\(974\) | 2.57977 | − | 1.48943i | 0.0826611 | − | 0.0477244i | ||||
\(975\) | −25.9199 | + | 125.315i | −0.830102 | + | 4.01328i | ||||
\(976\) | 3.84448 | + | 6.65884i | 0.123059 | + | 0.213144i | ||||
\(977\) | 10.4175 | + | 18.0437i | 0.333286 | + | 0.577268i | 0.983154 | − | 0.182779i | \(-0.0585092\pi\) |
−0.649868 | + | 0.760047i | \(0.725176\pi\) | |||||||
\(978\) | −26.4750 | − | 5.47605i | −0.846577 | − | 0.175105i | ||||
\(979\) | −0.205464 | − | 0.118625i | −0.00656666 | − | 0.00379126i | ||||
\(980\) | 20.1612 | + | 20.2030i | 0.644026 | + | 0.645361i | ||||
\(981\) | 29.2804 | − | 3.40216i | 0.934851 | − | 0.108623i | ||||
\(982\) | −21.7386 | + | 12.5508i | −0.693706 | + | 0.400511i | ||||
\(983\) | −9.33445 | + | 16.1677i | −0.297723 | + | 0.515671i | −0.975615 | − | 0.219491i | \(-0.929560\pi\) |
0.677892 | + | 0.735162i | \(0.262894\pi\) | |||||||
\(984\) | 4.58953 | − | 5.15368i | 0.146309 | − | 0.164293i | ||||
\(985\) | −90.7998 | −2.89312 | ||||||||
\(986\) | −14.9221 | + | 8.61525i | −0.475215 | + | 0.274365i | ||||
\(987\) | −5.99276 | + | 17.1935i | −0.190752 | + | 0.547277i | ||||
\(988\) | 22.7067 | + | 15.8688i | 0.722395 | + | 0.504854i | ||||
\(989\) | 36.9549 | + | 21.3359i | 1.17510 | + | 0.678444i | ||||
\(990\) | 12.0624 | + | 5.21297i | 0.383369 | + | 0.165679i | ||||
\(991\) | 35.6196 | + | 20.5650i | 1.13149 | + | 0.653269i | 0.944310 | − | 0.329056i | \(-0.106731\pi\) |
0.187184 | + | 0.982325i | \(0.440064\pi\) | |||||||
\(992\) | −4.45649 | + | 2.57296i | −0.141494 | + | 0.0816915i | ||||
\(993\) | −8.56589 | + | 41.4134i | −0.271830 | + | 1.31421i | ||||
\(994\) | −14.0654 | + | 18.3108i | −0.446129 | + | 0.580784i | ||||
\(995\) | − | 14.3000i | − | 0.453340i | ||||||
\(996\) | 0.0653676 | − | 0.0216357i | 0.00207125 | − | 0.000685555i | ||||
\(997\) | −37.6834 | −1.19344 | −0.596722 | − | 0.802448i | \(-0.703531\pi\) | ||||
−0.596722 | + | 0.802448i | \(0.703531\pi\) | |||||||
\(998\) | −20.7249 | −0.656035 | ||||||||
\(999\) | 9.27986 | + | 19.9540i | 0.293602 | + | 0.631315i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 798.2.p.d.107.11 | yes | 50 | |
3.2 | odd | 2 | 798.2.p.c.107.3 | ✓ | 50 | ||
7.4 | even | 3 | 798.2.bh.c.221.7 | yes | 50 | ||
19.8 | odd | 6 | 798.2.bh.d.65.19 | yes | 50 | ||
21.11 | odd | 6 | 798.2.bh.d.221.19 | yes | 50 | ||
57.8 | even | 6 | 798.2.bh.c.65.7 | yes | 50 | ||
133.46 | odd | 6 | 798.2.p.c.179.3 | yes | 50 | ||
399.179 | even | 6 | inner | 798.2.p.d.179.11 | yes | 50 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
798.2.p.c.107.3 | ✓ | 50 | 3.2 | odd | 2 | ||
798.2.p.c.179.3 | yes | 50 | 133.46 | odd | 6 | ||
798.2.p.d.107.11 | yes | 50 | 1.1 | even | 1 | trivial | |
798.2.p.d.179.11 | yes | 50 | 399.179 | even | 6 | inner | |
798.2.bh.c.65.7 | yes | 50 | 57.8 | even | 6 | ||
798.2.bh.c.221.7 | yes | 50 | 7.4 | even | 3 | ||
798.2.bh.d.65.19 | yes | 50 | 19.8 | odd | 6 | ||
798.2.bh.d.221.19 | yes | 50 | 21.11 | odd | 6 |